Publications and recent preprints
( back to Irene's web page)
139- K. Huang and I.M. Gamba;
Existence of Global Weak Solutions to Quasilinear Theory for Plasmas in One Dimension,
;
Preprint, ArXix (2023)
;
;
138- ; R.J.Alonso, I.M. Gamba, and M. Pavić-Čolić,
The Cauchy problem for Boltzmann systems modelling the mixing of monatomic and polyatomic gases;
137- I. Ampatzoglou, I.M.Gamba, N. Pavlovic and M. Taskovic;
Moment estimates and well-posedness of the binary-ternary Boltzmann equation;
136- R.J. Alonso, and I.M. Gamba;
The Boltzmann equation for hard potentials with integrable angular transition: Coerciveness,
exponential tails rates, and Lebesgue integrability;
ArXiv:2211.09188v2 (2022);
135- K. Huang, M. Abdelmalik, B. Breizman and I.M. Gamba;
A Conservative Galerkin Solver for Quasilinear Diffusion Equation with Arbitrary Wave Dispersion Relation,
;
134- I. Ampatzoglou, I.M.Gamba, N. Pavlovic and M. Taskovic;
Global well-posedness of a binary-ternary Boltzmann equation; Ann. Inst. H. Poincaré C Anal. Non Linéaire 39 (2022), no. 2, 327–369;
133-
de la Canal, Erica; Gamba, Irene M.; Pavić-Čolić, Milana;
On existence, uniqueness and Banach space regularity for solutions of Boltzmann equations
systems for monatomic gas mixtures. From particle systems to partial differential equations, 99–121,
Springer Proc. Math. Stat., 352, Springer, Cham, (2021).
132- I.M.Gamba and M. Pavic-Colic;
On the Cauchy problem for Boltzmann equation modeling a polyatomic gas;
131- C.A. Pennie and I.M.Gamba;
Convergence and Error Estimates for the Conservative Spectral Method for Fokker-Planck-Landau Equations
130- C.A. Pennie and I.M. Gamba;
Entropy Decay Rates for Conservative Spectral Schemes for Fokker-Planck-Landau
Flows in the Mean Field Limit
; Arxiv:1910.03110v2; submitted for publication (2022)
129- C. Zhang, I.M.Gamba and R. M. Strain;
Computations of The Spectral Gap for Linearized Boltzmann Operators;
128- I.M.Gamba, Q. Li , and A. Nair;
Reconstructing the thermal phonon transmission coefficient at solid interfaces in the phonon transport equations;
127- I.M. Gamba, S. Jin, L. Liu;
Error estimate of a bi-fidelity method for kinetic equations with random parameters and multiple scales;
126- I.M. Gamba, S. Jin, L. Liu;
Asymptotic-Preserving schemes for two-species collisional kinetic equations with disparate masses I: time discretization and asymptotic analysis, ArXiv:1810.11445v3, submitted for publication (2018). ; ArXiv:1810.11445v3 ,
Commun. Math. Sci. 17 (2019), no. 5, 1257-1289.
125- C.A. Pennie and I.M. Gamba;
Decay of Entropy From a Conservative Spectral Method for Fokker-Planck-Landau Type Equations,
,(peer reviewed), 31st International Symposium on Rarefied Gas Dynamics, Vo 2132,
(23–27 July 2018, Glasgow, UK). AIP Conference Proceedings 2132, 020001 (2019) https://doi.org/10.1063/1.5119523 ; ISBN:9780735418745
124- I.M. Gamba, S. Jin, L. Liu;
Micro-macro decomposition based asymptotic-preserving numerical schemes and numerical moments
conservation for collisional nonlinear kinetic equations;
ArXiv:1809.00028, J. Comput. Phys. 382 (2019), 264–290.
123- R.J. Alonso, I.M.Gamba and M. Taskovic;
Exponentially-tailed regularity and time asymptotic for the homogeneous Boltzmann equation;
ArXiv:1711.06596v2,
Submitted for Publication (2021).
122- I.M.Gamba and Cheng Yu;
Global weak solutions to compressible Navier-Stokes-Vlasov-Boltzmann systems for spray dynamics
121- I.M.Gamba;
Commentary: Three decades after Cathleen Synge Morawetz's paper "The mathematical approach
to the sonic barrier''; 120- I.M.Gamba and M. Pavic-Colic;
On existence and uniqueness to homogeneous Boltzmann flows of monatomic gas mixtures;
119- J.A. Morales Escalante, I.M.Gamba, E. Endeve and C. Hauck;
Positivity preserving DG schemes for a Boltzmann - Poisson model
of electrons in semiconductors in curvilinear momentum coordinates;
118- I.M.Gamba, L.Smith and M.B.Tran;
On the wave turbulence theory for stratified flows in the ocean;
117- I.M.Gamba and S. Rjasanow;
Galerkin-Petrov approach for the Boltzmann equation;
116- I.M.Gamba, N. Pavlovic and M. Taskovic;
On pointwise exponentially weighted estimates for the Boltzmann equation;
115- C. Zhang and I.M.Gamba;
A Conservative Discontinuous Galerkin Solver for Homogeneous Boltzmann Equation
; 114- A. Bobylev, I.M. Gamba, C.Zhang;
On the rate of relaxation for the Landau kinetic equation and related models,
113- I.M. Gamba; J.R. Haack, C.D.Hauck and J.Hu;
A fast spectral method for the Boltzmann collision operator with general collision kernels ,
112- R.J.Alonso; I.M.Gamba, and M.B.Tran;
The Cauchy problem and BEC stability for the quantum Boltzmann-Condensation system for bosons at very low temperature,
111- J.A. Morales Escalante and I.M. Gamba;
Galerkin Methods for Boltzmann-Poisson Transport with reflection conditions on rough boundaries ,
110- I.M.Gamba
Deterministic Solvers for Non-Linear Kinetic flows: A Conservative Spectral scheme for Boltzmann type flows;
109- A.V. Bobylev and I.M.Gamba
Upper Maxwellian bounds for the Boltzmann equation with pseudo-Maxwell molecules;
108- M. Harmon, I.M.Gamba and Kui Ren;
Numerical algorithms based on Galerkin methods for the modeling of reactive interfaces
in photoelectrochemical (PEC) solar cells; 107- C. Zhang and I.M.Gamba;
A Conservative Scheme for Vlasov Poisson Landau modeling collisional plasmas.
106- R. Alonso, I.M. Gamba and S.H. Tharkabhushaman;
Convergence and error estimates for the Lagrangian based Conservative Spectral method for Boltzmann Equations. ArXiv:1611.04171,SIAM J. NUMER. ANAL.Vol. 56, No. 6, pp. 3534-3579 (2018). 105- J.A. Morales Escalante, I.M. Gamba, A. Majorana,
Y. Cheng, C.W. Shu, and J.R. Chelikowsky;
Discontinuous Galerkin Deterministic Solvers for a Boltzmann-Poisson model of hot electron transport using an averaged Empirical Pseudopotential
band , 104- M. Taskovic, R.J.Alonso, I.M.Gamba and N. Pavlovic;
On Mittag-Leffler moments for the Boltzmann equation for hard potentials without cutoff, 103- I.M.Gamba and M.J. Kang;
Global weak solution of the Kolmogorov-Fokker-Planck type equation with
orientational interaction, 102- A. Bobylev, I.M.Gamba and I. Potapenko;
On some properties of the Landau kinetic equation, 101- I.M.Gamba, J.R. Haack and J.W. Hu;
A fast conservative spectral solver for the nonlinear
Boltzmann collision operator, 100- I.M.Gamba and C.L. Zhang;
A Conservative Discontinuous Galerkin Scheme with O(N2) Operations in Computing the Boltzmann Collision Weight Matrix. 99- C. Bardos, F.Golse, I.M.Gamba and C.D. Levermore;
Global Solutions of the Boltzmann equation over $R^d$ near globlal Maxwellians with small mass.
98- I.M.Gamba, J.R. Haack and S. Motsch;
Spectral method for a kinetic swarming model. 97- I.M.Gamba;
Alternative computational methods for Boltzmann and Wigner models in charged transport systems.
Computational Electronics (IWCE), 2014 International Workshop on, Paris, France. (2014)
96- J.Morales Escalante and I.M.Gamba;
Boundary conditions effects by Discontinuous Galerkin Solvers for Boltzmann-Poisson models of Electron Transport. 95- I.M. Gamba and J.R.Haack; A conservative spectral method for the Boltzmann equation with anisotropic scattering and the grazing collisions limit, Jour. Computational Physcis, V. 270, 40–57. (2014). 94- Y.Cheng, I.M. Gamba, Fengyan Li and P.J. Morrison,
Discontinuous
Galerkin Methods for Vlasov-Maxwell Equations, supplementary material Download here.
SIAM J. Numer. Anal. 52-2 (2014), pp. 1017-1049. 93- J.Morales Escalante, I.M.Gamba, A. Majorana,Y.Cheng, C-W. Shu and R. Chelikowsky,
Deterministic DG Solvers for EPM-Boltzmann-Poisson Transport. 92- A. Munafo, Erik Torres, J.R. Haack, I.M. Gamba and T.E. Magin,
Investigation of nonequilibrium effects across normal shock waves by means of a spectral-Lagrangian Boltzmann solver. 51st AIAA Aerospace Sciences Meeting including the New Horizons
Forum and Aerospace Exposition, January 2013, Grapevine, TX. DOI: 10.2514/6.2013-305,(2013) 91- I.M. Gamba and R. Srinivasan, Self-similarity in kinetic models of information-exchange processes, preprint (2013). 90- I.M.Gamba, A. Majorana, J.Morales Escalante and C-W. Shu,
A fast approach to Discontinuous Galerkin
solvers to Boltzmann-Poisson transport system for full electronic bands and phonon scattering. 89- A. Munafo, J.R. Haack, I.M. Gamba and T.E. Magin, A Spectral-Lagrangian
Boltzmann Solver for a Multi-Energy Level Gas, 88- A. Munafo, J.R. Haack, I.M. Gamba and T.E. Magin, High Performance Computing with a Conservative Spectral Boltzmann Solver Investigation of non-equilibrium internal energy excitation in shock waves by means of a spectral-Lagrangian Boltzmann solver, 87- J.R.Haack and I.M. Gamba, High Performance Computing with a Conservative Spectral Boltzmann Solver , 86- J.R.Haack and I.M. Gamba, Conservative Deterministic Spectral Boltzmann Solver near the grazing collisions limit , (peer reviewed), 28th Rarefied Gas Dynamics Conference (2012). AIP Conference Proceedings (2012) 85- Y. He,I.M. Gamba, H-C. Lee, and K. Ren, On the modeling and simulation of reaction-transfer dynamics in semiconductor-electrolyte solar cells 84- Y.Cheng, I.M. Gamba and P.J. Morrison , Study of conservation and recurrence of Runge-Kutta discontinuous Galerkin schemes for Vlasov-Poisson systems, 83- M. Bostan and I.M. Gamba, Impact of strong magnetic fields on collision mechanism for transport of charged particles , 82- R.J. Alonso, J.A. Canizo, I.M. Gamba and C. Mouhot, A new approach to the creation and propagation of exponential moments in the Boltzmann equation, 81-Y. Cheng and I.M. Gamba, Numerical study of Vlasov-Poisson equations for infinite homogeneous stellar systems 80- N. Ben Abdallah, I.M. Gamba and G. Toscani On the minimization problem of sub-linear convex functionals 79- Ricardo Alonso and I.M. Gamba, Gain of integrability for the Boltzmann collisional operator 78- Yingda Cheng, I.M. Gamba, A. Majorana, and C-W Shu, Discontinuous Galerkin methods for the Boltzmann-Poisson systems in semiconductor device simulations AIP Conference Proceedings, v1333 (2011), pp. 890 - 895. 77- Yingda Cheng, I.M. Gamba, A. Majorana, and C-W Shu, Performance of a Discontinuous Galerkin Solvers for Semiconductor Boltzmann Equations 76- Yingda Cheng, I.M. Gamba, A. Majorana, and C-W Shu, A brief survey of the discontinuous Galerkin method for the Boltzmann-Poisson equations, SEMA J. No. 54 , pp. 47 - 64, (2011). 75- Yingda Cheng, Irene M. Gamba, Kui Ren, Recovering doping profiles in semiconductor devices with the Boltzmann-Poisson model, 74- A. Arnold, I.M.Gamba, M.P.Gualdani, S. Mischler, C. Mouhot and C. Sparber; The Wigner-Fokker-Planck equation: Stationary states and large time behavior., Math. Models Methods Appl. Sci. 22 (2012), no. 11, 1250034, 31 pp., arXiv:1010.2791v3 [math.AP], 2011 73- R. E. Heath, I. M. Gamba, P. J. Morrison, C. Michler, A discontinuous Galerkin method for the Vlasov-Poisson system, Journal of Computational Physics, Volume 231, Issue 4, 20 February 2012, pp 1140 - 1174(arXiv:1009.3046v2 [physics.plasm-ph]) . 72- A.V. Bobylev and I. M. Gamba, Solutions of the linear Boltzmann equation and some Dirichlet series , 71- M. Bostan, I.M. Gamba, and T. Goudon, The linear Boltzmann equation with space periodic electric field, 70- Yingda Cheng, I.M. Gamba, A. Majorana, and C-W Shu, A Discontinuous Galerkin Solver for Full-Band Boltzmann-Poisson Models, 69- I.M. Gamba, A. Jungel and A. Vasseur , Global existence of solutions to one-dimensional viscous quantum hydrodynamic equations, 68- I.M. Gamba and Sri Harsha Tharkabhushaman, Shock and Boundary Structure formation by Spectral-Lagrangian methods for the Inhomogeneous Boltzmann Transport Equation, 67- R. Alonso and I.M.Gamba, A revision on Classical solutions to the Cauchy Boltzmann problem for soft potentials, 66- R. Alonso and I.M.Gamba, Distributional and classical solutions to the Cauchy Boltzmann problem for soft potentials with integrable angular cross section, 65- R. Alonso, E Carneiro and I.M.Gamba, Convolution inequalities for the Boltzmann collision operator, 64- I.M. Gamba, M.P. Gualdani and C. Sparber, A note on the time decay of solutions for the linearized Wigner-Poisson system, 63- Yingda Cheng, I.M. Gamba, A. Majorana, and C-W Shu, A discontinuous Galerkin solver for Boltzmann Poisson systems in nano devices, 62- I.M. Gamba, M.P. Gualdani and R. Sharp, An Adaptable Discontinuous Galerkin Scheme for the Wigner-Fokker-Planck Equation, 61- M. Bostan, I. M. Gamba, T. Goudon and A. Vasseur, Boundary Value Problems for the Stationary Vlasov-Boltzmann-Poisson Equation, 60- Yingda Cheng, I.M. Gamba, A. Majorana, and C-W Shu, Discontinuous Galerkin Solver for Boltzmann-Poisson transients, 59 - R. Alonso and I.M.Gamba, L1-L∞ Maxwellian bounds for the derivatives of the solution of the homogeneous Boltzmann equation. 58 - I.M. Gamba and Sri Harsha Tharkabhushaman, Spectral - Lagrangian based methods applied to computation of Non - Equilibrium Statistical States. 57 - Yingda Cheng, Irene M. Gamba, Armando Majorana and Chi-Wang Shu, Discontinuous Galerkin Solver for the Semiconductor Boltzmann Equation, 56 - Yingda Cheng, I.M. Gamba and Jennifer Proft, Positivity-Preserving Discontinuous Galerkin Schemes for Linear Vlasov-Boltzmann Transport Equations, Mathematics of Computation, v81 (2012), pp.153-190. 55- I.M. Gamba, M.P. Gualdani and Ping Zhang, On the blowing up of solutions to the quantum hydrodynamic equations in a bounded domain, 54 - I.M. Gamba, V. Panferov and C. Villani, Upper Maxwellians bounds for the spatially homogeneous Boltzmann equation. 53 - M.J.Caceres, J.Carrillo, I.M.Gamba, A.Majorana and C.W.Shu, Deterministic kinetic solvers for charged particle transport in semiconductor devices in Transport Phenomena and Kinetic Theory. Applications to Gases, Semiconductors, Photons, and Biological Systems Series: Modeling and Simulation in Science, Engineering and Technology. Cercignani, Carlo and Gabetta, Ester (Eds.) (2007). 51 - A.V. Bobylev, C. Cercignani and I. M. Gamba, On the self-similar asymptotics for generalized non-linear kinetic Maxwell models, Commun. Mathematical Physics 291, 599 - 644 (2009). (original version at arXiv:math-ph/0608035) 47 - Jing Shi, I.M. Gamba, A Unitary Hermite Spectral Method for Quantum Liouville-von Neumann Equation, Preprint (2005). 46 - I.M. Gamba, S. Rjasanow and W. Wagner, Direct simulation of the uniformly heated granular Boltzmann equation. 45 - A.V. Bobylev, I.M. Gamba and V. Panferov, Moment inequalities and high-energy tails for Boltzmann equations wiht inelastic interactions, 44 - I.M. Gamba, V. Panferov and C. Villani, On the Boltmann Equation for diffusively excited granular media, 43 - N. Ben Abdallah, I.M. Gamba and A. Klar, The Milne problem for high field kinetic equations , 42 - J.A. Carrillo, I.M. Gamba, A. Majorana and C.W. Shu, A direct solver for 2D nonstationary Boltzmann-Poisson Systems for Semiconductor Devices: A MESFET simulation by WENO-Boltzmann schemes, 38 - Luis Caffarelli, Valentino Crespi, George Cybenko, Daniela Rus, Irene M. Gamba, Stochastic Distributed Algorithms for Target Surveillance. Proceedings of Intelligent Systems and Design Applications (ISDA2003), Tulsa, Oklahoma, August, 2003. 37 - J.A. Carrillo, I.M. Gamba, A. Majorana and C.W. Shu, A WENO-solver transients of Boltzmann-Poisson system for semiconductor devices. Performance and Monte Carlo comparisons, Journal of Computational Physics, Vol 184, no. 2, 498-525, (2003). 38 - Gamba, V. Panferov and C. Villani, On the inelastic Boltzmann equation with diffusive forcing. Nonlinear problems in mathematical physics and related topics, II, In Honor of Professor O.A. Ladyzhenskaya 179-192, Int. Math. Ser. (N. Y.), 2, Kluwer/Plenum, New York,(2002). 36 - K. Suzanne Barber, Irene M. Gamba, and Cheryl E. Martin. Representing and Analysing Adaptive Decision Making Frameworks. Agent Autonomy, Kluwer series: Multi-Agent Systems, Artificial Societies, and Simulated Organizations, Gerhard Weiss (editor), Chapter 3, (2003). (Workshop on Autonomy Oriented Computation (AOC), (invited) 5th International Conference on Autonomous Agents, pp. 12-20, May 28-June 1, 2001, Montreal, Canada.) 35 - K. Suzanne Barber, Irene M. Gamba, and Cheryl E. Martin. Analysis of Adaptive Decision-Making Frameworks: Motivation for Adjusting Autonomy through Decision-Making Control. Proceedings for the IJCAI-01 Workshop on Autonomy, Delegation, and Control: Interacting with Autonomous Agents. pp. 9-13, August 4-10, (2001), Seattle, WA. 34 - J.A. Carrillo, I.M. Gamba, A. Majorana and C.W. Shu, A WENO-solver for the 1D non-stationary Boltzmann-Poisson system for semiconductor devices. Journal of Computational Electronics, v1 (2002), pp.365-370. 33 - N. Ben Abdallah, P. Degond and I. Gamba, Hybrid-quantum-kinetic models for the coupling kinetic and quantum effect., J. Math. Phys. 43 (2002), no. 1, 1-24.(2002). 32 - I.M. Gamba and A. Jungel, Asymptotic limits for Quantum Trajectory Models, Comm. Partial Differential Equations 27 (2002), no. 3-4, 669-691.(April, 2002). 31 - J.A. Carrillo, I.M. Gamba, O. Muscato and C.W. Shu, Comparison of Monte Carlo and deterministic simulations of a silicon diode, Simulation of Transport in Transition Regimes, (Minneapolis, MN, 2000), 75-84, IMA Vol. Math. Appl., 135, Springer, New York, 2004 30 - M.A. Anile, J.A. Carrillo, I.M. Gamba and C.W. Shu, Approximation of the BTE by a relaxation-time operator: simulations for a 50nm-channel Si diode, VLSI Design Journal 13, 349-354 (2001) 29 - C. Cercignani, I.M. Gamba, C.L. Levermore, A Drift-Collision Balance asymptotic for a Boltzmann-Poisson System in Bounded Domains, SIAM J. Appl. Math., Vol 61, No. 6, pp 1932-1958, (2001). 28 - I.M. Gamba and A. Jungel, Positive solutions to singular second and third order differential equations for quantum fluids, Arch. Ration. Mech. Anal. 156, no. 3, 183-203 (2001). 27 - J.A. Carrillo, C. Cercignani and I.M. Gamba,
Steady states of a Boltzmann equation for driven granular media, Phys. Rev. E (3) 62 (2000), no. 6, part A, 7700-7707. 27. 26 - N. Ben Abdallah, P. Degond and I. Gamba, Inflow boundary conditions for the time dependent one-dimensional Schroedinger equation, C. R. Acad. Sci. Paris Sr. I Math. 331 (2000), no. 12, 1023-1028 25 - C. Cercignani, I. Gamba, J. Jerome and C.-W. Shu, A domain decomposition method: a simulation study, Proceedings of 1998 Sixth International Workshop on Computational Electronics (IWCE-6), Osaka University, Japan, October 19-21, 1998, IEEE Catalog Number 98EX116, pp.174-177 (1998). 24 - J.A. Carrillo, I.M. Gamba and C.W. Shu,
Computational macroscopic approximations
to the 1-D relaxation-time kinetic system for semiconductors, Physica D 146, 289-306 (2000). 23 - Arnold , J.A. Carrillo, I. Gamba and Chi-Wang Shu, Low and High Field Scaling Limits for the Vlasov- and Wigner-Poisson-Fokker-Planck Systems, Transp. Theory Stat. Phys 30 (2&3), 121-153 (2001). 22 - A.V. Bobylev, J.A. Carrillo and I.M. Gamba, On some properties of kinetic and hydrodynamic equations
for inelastic interactions, Journal Stat. Phys., vol. 98, no. 3-4, 743-773, (2000)-
Revision of the Introduction ,
Journal Stat. Phys., vol. 103, no. 5-6, 1137 - 1138 (2001). 21 - I.M. Gamba, Milne Problem for strong force scaling, Nonlinear partial differential equations (Evanston, IL, 1998), 127-132, Contemp. Math., 238, Amer. Math. Soc., Providence, RI, (1999). 20 - C. Cercignani, I.M. Gamba, J. Jerome and C-W Shu, A Domain Decomposition Method for Silicon Devices, Transport Theory and Statis. Phys., vol. 29, (3-5), 525-536 (2000). 19 - C. Cercignani, I.M. Gamba, J. Jerome and C-W Shu, Device Benchmark Comparisons via Kinetic, Hydrodynamic, and High-Field Models, Computer Methods in Applied Mechanics and Engineering, 381-392 (2000). 18 - I.M. Gamba, R. Rosales and E. Tabak, Constraints for formation of singularities for the small disturbance transonic flow equations, Comm. Pure Appl. Math, 52 no. -6, 763-779 (1999). 17 - C. Cercignani, I.M. Gamba, J. Jerome and C-W Shu, Applicability of the high field model: A preliminary numerical study, Proceedings of Fifth InternationalWorkshop on Computational Electronics (1997), Notre Dame, Indiana. VLSI DESIGN, vol. 8 (1?4), 135-141 (1998). 16 - C. Cercignani, I.M. Gamba, J. Jerome and C-W Shu, Applicability of the high field model: An analytical study via asymptotic parameters defining domain decomposition. Proceedings of Fifth International Workshop on Computational Electronics (1997), Notre Dame, Indiana. VLSI DESIGN, vol. 8 (1?4), 275-282 (1998). 15 - I.M. Gamba, Higher order asymptotic boundary conditions for an oxide region in a semiconductor device, Wavelet Theory and Harmonic Analysis in Applied Sciences, edited by C.E. D'Attellis and E.M. Fernandez-Berdaguer, Birkhauser, 1997 (ISBN 0-8176-3953-5, ISBN 3-7643-3953-5) 301-313 (1997). 14 - I.M. Gamba and C.S. Morawetz, Viscous approximation to transonic gas dynamics: flow past profiles and charged-particle systems, Modeling and Computation for Applications in Mathematics, Science and Engineering (Evanston, Il, 1996), Clarendon Press, Oxford, 81-102, (1998). 13 - C. Cercignani, I.M. Gamba and C.D. Levermore, High field approximations to a Boltzmann-Poisson system boundary conditions in a semiconductor, Applied Math Letters, vol. 10 (4), 111-118, (1997). 12 - I.M. Gamba, Sharp uniform speed bounds for steady potential fluid-Poisson systems, Proceedings of the Royal Academy of Edinburgh, vol. 127A, 479-516 (1997). 11 - I.M. Gamba, Steady Potential Fluid-Poisson systems: Theoretical results in 2-dimensional geometries, Proceedings of ICIAM 95 - Applied Analysis Volume (1997) 10 - I.M. Gamba and C.S. Morawetz,
A viscous approximation for a 2D steady semiconductor or transonic gas dynamic flow: Existence theorem for potential flow
. Communications in Pure and Applied Mathematics, vol. 49 (10) 999-1049 (1996). 9 - I.M. Gamba,
An existence and uniqueness result for a nonlinear 2-dimensional elliptic boundary value problem, Communications in Pure and Applied Mathematics, vol. XLVIII, 669-689 (1995). 8 - I.M. Gamba,
Viscosity approximating solutions to ODE systems that admit shocks, and their limits. Advances in Applied Mathematics, vol. 15, 129-182, (1994). 7 - I.M. Gamba, Boundary layer formation for viscosity approximations of transonic flow, Physics of Fluids A., vol. 4(3), 486-490 (1992). 6 - I.M. Gamba, Stationary transonic solutions for a one-dimensional hydrodynamic model
for semiconductors Comm. Partial Differential Equations, vol. 17 (3,9), 553-577 (1992). 5 - I.M. Gamba, Asymptotic boundary conditions for an oxide region in a semiconductor device, Asymptotic Analysis Journal, vol. 7, 37-48 (1993). 4 - I.M. Gamba, Behavior of the potential at the pn-Junction for a model in semiconductor theory, Appl. Math. Lett., vol. 3, 59-63 (1990). 3 - I.M. Gamba, Asymptotic behavior at the boundary of a semiconductor device in two space dimensions, based on the thesis dissertation (Istituto di Analisi Numerica del C.N.R. Pub.N.740. Pavia, Italy (1990)). Ann. di Mat. Pura App. (IV) Vol. CLXIII, 43-91, (1993). 2 - I.M. Gamba and M.C.J. Squeff, Simulation of the transient behavior of a one dimensional semiconductor device II, SIAM of J. Numer. Anal., vol. 2, 539-552 (1989). 1 - J. Douglas Jr., I.M. Gamba and M.C.J. Squeff,
Simulation of the transient behavior of a one dimensional semiconductor device, Mat. Apl. Comput., vol. 5, 103-122 (1986). Editorial review work: 1. (Review) Dispersive transport equations and multiscale models, The IMA Volumes in Mathematics and its Applications Series , edited by Arnold, Anton; Ben Abdallah, Naoufel; Degond, Pierre;Gamba, Irene M.; Glassey, Robert T.;Levermore, C. David; Ringhofer, Christian. Papers from the Workshops `Dispersive Corrections to Transport Equations’, held May 1-5, `Simulation of Transport in Transition Regimes’, held May 22-26 and Multiscale Models for Surface Evolution and Reacting Flows’, held June 5-9, in Minneapolis, MN, 2000, The IMA Volumes in Mathematics and its Applications, Vol 136, Springer-Verlag, New York, pp. 292 (2004). 2. (Review) Transport in transition regimes, The IMA Volumes in Mathematics and its Applications Series, edited by Arnold, Anton; Ben Abdallah, Naoufel; Degond, Pierre;Gamba, Irene M.; Glassey, Robert T.;Levermore, C. David; Ringhofer, Christian. Papers from the Workshops `Dispersive Corrections to Transport Equations’, held May 1-5, `Simulation of Transport in Transition Regimes’, held May 22-26 and `Multiscale Models for Surface Evolution and Reacting Flows’, held June 5-9, in Minneapolis, MN, 2000. The IMA Volumes in Mathematics and its Applications, Vol 135, Springer-Verlag, New York, pp. 298 (2004).
ArXiv: (2022)
;
Journal of Computational Physics 488 (2023) 112220
ArXiv:1910.14476v3; (2022)
J. Math. Phys. 64 (2023), no. 1, Paper No. 013303, 51 pp.
ArXiv:2009.10352;submitted for publication. (2022)
ArXiv:; (2022)
ArXiv:2011.13047v2 ; SIAM Journal Applied Math, Vol. 82 No.1 pp 194-220 (2022).
ArXiv:1910.0908v2;International Journal for Uncertainty Quantification, V.11. P.57-75; (2021)
ArXiv:1806.04567, J. Math. Fluid Mech. 22 (2020), no. 4, Paper No. 45, 22 pp.
Bull. Amer. Math. Soc. (N.S.) 55 (2018), no. 3, 347–350.
ArXiv:1806.09331v3,
Arch. Ration. Mech. Anal. 235 (2020), no. 1, 723–781 (2019).
ArXiv:1711.03949v1.
Math. Models Methods Appl. Sci. 30 (2020), no. 1, 105–137. ArXiv:1709.08266v3.
ArXiv:1710.05903, Journal of Computational Physics
V. 366, (2018) 341-365.
To appear in SIAM J Mathematical Analysis, (2019).
SIAM J. Numerical Analysis, Vol. 56, No. 5 : pp. 3040-3070 (2018).
Journal of Statistical Physics, 168(3), 535-548 (2017).
ArXiv:1610.00397 [math.NA]. SIAM J. Sci. Comp, Vol. 39, No. 4, pp. B658–B674, (2017).
Submitted for publication (2018).
Arxiv:1512.09210v2. Journal of Computational Physics 363 (2018) 302–328.
Chapter 15 - pp 403–433, Handb. Numer. Anal., 18, Elsevier/North-Holland, Amsterdam, 2017.
Kinet. Relat. Models 10 (2017), no. 3, 573–585.
J. Comput. Phys. 327 (2016), 140–167.
ArXiv.org:1605.05787,
J. Comput. Physics,V. 340, 470-497, (2017).
ArXiv.org:1512.05403. Comput. Methods Appl. Mech. Engrg. 321, pp. 209–234, (2017).
ArXiv:1512.06769, to appear in SIAM Journal Mathematical Analysis (2017).
arXiv:1502.00293 - Archive for Rational Mechanics and Analysis,
222(1), 317-342 (2016).
J. Stat. Phys. 161
(2015), no. 6, 1327-1338.
(peer reviewed). AIP Conf. Proc. 1628, 75 (2014).
Conference (2014) Xian, China. AIP Conference Proceedings (2014).
(peer reviewed) To appear in 29th Rarefied Gas Dynamics Conference (2014) Xian, China. AIP Conference Proceedings (2014).
Communications in Mathematical Physics (2016) 346: 435. DOI 10.1007/s00220-016-2687-7. First Online 29 July 2016
J. Comput. Phys. 297 (2015), 32–46(2015).
Computational Electronics (IWCE), 2014 International Workshop on, Paris, France. (2014).
Conference, Nara, Japan; 2013-06-04 - 2013-06-07; in: "Abstracts of 16th IWCE", (2013), 170-171.
Conference, Madison, USA; 2012-05-22 - 2012-05-25; in: "Proc. of 15th IWCE", (2012).
Jour. Comp. Physcics 264, V. 152–176, (2014).
(peer reviewed) 28th Rarefied Gas Dynamics Conference (2012). AIP Conference Proceedings, (2012).
(peer reviewed) 28th Rarefied Gas Dynamics Conference (2012). AIP Conference Proceedings (2012).
SIAM J. Appl. Math.75, (2015) no. 6,2515–2539.
Journal of Scientific Computing, Vol 56, No. 2, 319-349. (2013) arXiv:1209.6413 [math.AP].
Journal Stat. Phys., Vol 147, No.4, August 2012- Online version. arXiv:1205.2327v1 [math.AP] .
Comm. Partial Differential Equations 38 (2013), no. 1, 155–169. preprint at arXiv:1203.2364v1 [math.AP].
Communications in Nonlinear Science and Numerical Simulation, Vol. 17, Is. 5, pages 2052 - 2061, (2012).
Kinetic Related Models, Vol 4 No.4 pp 857 - 871, (2011).
Kinetic and Related Models, Vol 4, no 1, pages 41 - 51, (2011).
Proceeding of IWCE14, pp.211 - 214, (2010).
J. Comput. Phys., 230, (2011), pp. 3391-3412.
Forum Mathematicum, Vol. 24, Issue 2, pp 239 - 251, (2012). Published online: 09/09/2010 DOI:10.1515/FORM.2011.058 (2010).
Amer. Math. Soc. Transl. (2) Vol 229 pp 51-66 (2010).
13th International Workshop on Computational Electronics Proceedings, pp 211-214, (2009).
Journal of Differential Equations, 247, 3117- 3135, (2009).
Jour. Comp. Math, Vol.28, No.4, 2010, pp. 430-460.
J. Stat. Phys. 143, no. 4, pp. 740 - 746. (2011)
Journal of Statistical Physics, V 137, Numbers 5-6, 1147 - 1165 (2009)
Comm. Math. Physics Volume 298, Number 2, 293-322, 2010.
Journal Kinetic and Related Models , 2 (2009), no. 1, 181-189. .
Comput. Methods Appl. Mech. Engrg. 198 (2009), no. 37-40, 3130--3150
Commun. Math. Sci. Vol. 7, No. 3 pp. 635-664 (2009).
Indiana University Journal, 59 (2010), no.5, 1629-1660.
Journal of Computational Electronics, (2008) 7:119-123.
Journal de Mathematiques Pures et Appliquees, (9) 89 (2008), no. 6, 575--595
Journal of Computational Physics 228 (2009) 2012-2036.
Simulations of Semiconductor Processes And Devices, Vol 12, Springer Wien New York, Edited by T. Grasser and S. Selberherr September 2007; 257-260 (2007).
Monatshefte Matematik (2009) 157: 37-54.
Arch.Rat.Mech.Anal, 194 . (2009), 253-28252 - M.J.Caceres, J.Carrillo, I.M.Gamba, A.Majorana and C.W.Shu, DSMC Versus WENO-BTE: a Double Gate MOSFET Example. Journal of Computational Electronics, Volume 5, Number 4 - December, (2006) 471-474.
50 - A.V. Bobylev, C. Cercignani and I. M. Gamba, Generalized kinetic Maxwell models of granular gases; Mathematical models of granular matter Series: Lecture Notes in Mathematics Vol.1937, Springer, G. Capriz, P. Giovine and P. M. Mariano (Eds.) (2008) ISBN: 978-3-540-78276-6 .
49 - A.V. Bobylev and I. M. Gamba, Boltzmann equations for mixtures of Maxwell gases: exact solutions and power like tails.
J. Stat. Phys. 124, no. 2-4, 497--516. (2006).
48 - J.A. Carrillo, I.M. Gamba, A. Majorana and C.W. Shu, 2D non-stationary Boltzmann- Poisson Systems: DSMC versus A WENO-Boltzmann scheme,
J. Comput. Phys. 214 (2006), no.1, 55-80.
Math. Comput. Modelling 42 (2005), no. 5-6, 683--700.
J. Statist. Phys. 116, no. 5-6, 1651-1682.(2004).
Commun. Math. Phys. 246, 503-541 (2004).
SIAM J. Appl. Math. Vol.64 No.5, pp. 1709-1736 (2004).
Journal of Computational Electronics, 2: 375-380 (2005).