C. Cercignani, I. M. Gamba, J.W. 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). pdf
file. ps
file.
C. Cercignani, I. M. Gamba, J.W. Jerome and C.W. Shu,
A Domain Decomposition Method for Silicon Devices,
Transp. Theory Stat. Phys., vol. 29, (3--5), 525--536,
(2000). pdf
file. ps
file.
A. V. Bobylev, J. A. Carrillo, I. M. Gamba,
On some properties of
kinetic
and hydrodynamic equations for inelastic interactions, J. Stat. Phys.,
98, 743-773, 2000. pdf
file. ps
file.
A. Arnold, J. A. Carrillo, I. M. Gamba, C. Shu,
Low and High Field
Scaling Limits for the Vlasov- and Wigner-Poisson-Fokker-Planck Systems,
Transp. Theory Stat. Phys (2001). pdf
file. ps
file.
I. M. Gamba and A. Juengel,
Positive solutions to singular second
and third order differential
equations for quantum fluids,
Arch. Ration. Mech. Anal. 156, no. 3, 183--203 (2001)
pdf
file.
ps
file.
J. A. Carrillo, I. M. Gamba, C. W. Shu,
Computational
macroscopic
approximations to the 1-D relaxation-time kinetic system for
semiconductors,
Physica D, 146, 289--306 (2000), pdf
file.
J. A. Carrillo, C. Cercignani, 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 . pdf
file. ps
file.
C. Cercignani, I.M. Gamba and C.D. Levermore,
A Drift-Collision Balance for a Boltzmann-Poisson System
in Bounded Domains, SIAM J. Appl. Math., Vol 61, No. 6, pp 1932-1958, (2001), ps
file.
M. A. Anile, Jose A. Carrillo, I. M. Gamba and Chi-Wang Shu;
Approximation of the BTE by a relaxation-time operator:
simulations
for a 50nm-channel Si diode, preprint, VLSI Design Journal 13, 349-354, 2001.
pdf
file. ps
file.
N. Ben Abdallah, P. Degond and I. M. Gamba,
Inflow boundary conditions for the time dependent
one-dimensional Schroedinger equation,C. R. Acad. Sci. Paris Sér. I Math.
331 (2000), no. 12, 1023--1028.
pdf
file.
J. A. Carrillo,I. M. Gamba, O. Muscato and C. W. Shu,
Comparison of Monte Carlo and deterministic simulations of a silicon diode,
Transport in Transition Regimes, IMA Volumes in
Mathematics and its Applications, Spinger Verlag, New York, V.135
(2003) 75--84 .
pdf
file.
ps
file.
I. M. Gamba and A. Juengel,
Asymptotic limits for quantum trajectory models,
Comm. P.D.E. 27 (2002), no. 3-4, 669--691.(April, 2002)
pdf
file.
ps
file.
P. Amster, M.P. Beccar Varela, I. M. Gamba,
and M.C. Mariani ,
Solutions to
transonic non-isentropic
charged transport hydrodynamic systems in bounded domains ,
Submitted (2001)
file.
ps
file.
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.
pdf
file.
ps
file.
N. Ben Abdallah, P. Degond and I. Gamba,
Hybrid-quantum-kinetic models for the coupling kinetic
and quantum effects,
J. Math. Phys. 43 (2002), no. 1, 1--24.(2002).
pdf
file.
ps
file.
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). pdf
file.
I.M. 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.
pdf
file. ps
file.
N. Ben Abdallah, I. M. Gamba and Axel Klar
'The Milne problem for high field kinetic
equations', SIAM J. Appl. Math. Vol.64 No.5, pp. 1709-1736 (2004) pdf
file.
I.M. Gamba, V. Panferov and C. Villani,
'On the Boltmann Equation for diffusively excited granular media',
Commun. Math. Phys. 246, 503-541 (2004).
pdf
file.
ps
file.
A.V. Bobylev, I.M. Gamba and V. Panferov,'
Moment inequalities and
high-energy tails for Boltzmann equations wiht inelastic interactions',
J. Statist. Phys. 116, no. 5-6, 1651--1682.(2004).
pdf
file.
ps
file.
I.M. Gamba, S. Rjasanow and W. Wagner,
'Direct simulation of the
uniformly heated granular Boltzmann equation',
Math. Comput. Modelling 42 (2005), no. 5-6, 683--700.
pdf
file.
ps
file.
J.A. Carrillo, I.M. Gamba, A. Majorana and C.W. Shu,
'A direct solver for 2D non-stationary Boltzmann-Poisson
Systems for Semiconductor Devices: A MESFET simulation by WENO-Boltzmann
schemes', Journal of Computational Electronics,2: 375-380,(2005) pdf
file.
J.A. Carrillo, I.M. Gamba, A. Majorana and C.W. Shu,
2D semiconductor device simulations by WENO-Boltzmann
schemes: efficiency, boundary conditions and comparison to Monte
Carlo methods, J. Comput. Phys. 214 (2006), no. 1, 55--80.
pdf
file.
ps
file.
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).
pdf
file.
ps
file.
M.J. Caceres, J.A. Carrillo, I.M. Gamba, A. Majorana and C.W. Shu,
Deterministic kinetic solvers for charged particle
transport in semiconductor devices, . Applications to Gases, Semiconductors, Photons,
and Biological Systems Series:
Modeling and Simulation in Science, Engineering and Technology.
Cercignani, Carlo and Gabetta, Ester (Eds.) (2007).pdf
file.
ps
file.
M.J. Caceres, J.A. 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 pdf
file.
A.V. Bobylev, C. Cercignani and I. M. Gamba,
"Generalized kinetic
Maxwell models of granular gases";
Mathematical models of granular matter, Lecture Notes in Mathematics,
Springer, G. Capriz, P. Giovine and P. M. Mariano Edts, in print.
(2006).
pdf
file.
ps
file.
I.M. Gamba, V. Panferov and C. Villani,
'Upper Maxwellian bounds for the spatially homogeneous
Boltzmann equation
submitted for publication (2007).
pdf
file.
A.V. Bobylev, C. Cercignani and I. M. Gamba,
`On the self-similar asymptotics for
generalized non-linear kinetic
Maxwell models'. Submitted for publication
(2006).
pdf
file.
I. M. Gamba, M.P. Gualdani and Ping Zhang
"On the blowing up of solutions to quantum hydrodynamic models on bounded
domains"
Submitted for publication
(2007).
pdf
file.
for Sao