Publication

Preprints:

Contraction for large perturbations of shocks of isentropic Navier-Stokes systems with degenerate viscosity (with A. Vasseur), In preparation

A rigorous derivation from the kinetic Cuker-Smale model to the pressureless Euler system with nonlocal alignment, (with A. Figalli), https://arxiv.org/abs/1702.08087

$L^2$ contraction for planar shock waves of multi-dimensional scalar viscous conservation laws (with A. Vasseur and Y. Wang), http://arxiv.org/pdf/1609.01825.pdf

Dynamics of a spatially homogeneous Vicsek model for oriented particles on the plane (with J. Morales), http://arxiv.org/pdf/1608.00185v1.pdf

Global well-posedness of spatially homogeneous Kolmogorov-Vicsek model as a gradient flow (with A. Figalli and J. Morales), submitted, http://arxiv.org/pdf/1509.02599.pdf.

Non-contraction of intermediate admissible discontinuities for 3-D planar isentropic magnetohydrodynamics, http://arxiv.org/pdf/1510.02194.pdf

Published Articles :

[17] Existence and stability of planar shock waves of viscous scalar conservation laws with space-periodic flux (with A.-L. Dalibard), To appear in J. Math. Pures Appl. (2016), http://arxiv.org/pdf/1603.05087.pdf

[16] Criteria on contractions for entropic discontinuities of systems of conservation laws (with A. Vasseur), Arch. Rational Mech. Anal., 222, 343--391 (2016)

[15] Global weak solutions to Kolmogorov-Vicsek type equations with orientational interaction (with I. M. Gamba), Arch. Rational Mech. Anal., 222, 317--342. (2016)

[14] Global existence of strong solutions to the Cucker-Smale-Stokes system (with H.-O. Bae, Y.-P. Choi and S.-Y. Ha), J. Math. Fluid Mech., 18, 381--396 (2016), [pdf]

[13] Dynamics of time elapsed inhomogeneous neuron network model (with B. Perthame and D. Salort), C. R. Math. Acad. Sci. Paris, 353, 1111-1115 (2015). [pdf]

[12] $L^2$-contraction for shock waves of scalar viscous conservation laws (with A. Vasseur), Annales de l'Institut Henri Poincare (C) : Analyse non lineaire, http://dx.doi.org/10.1016/j.anihpc.2015.10.004 [pdf]

[11] Emergent dynamics for the hydrodynamic Cucker-Smale system in a moving domain (with S.-Y. Ha and B. Kwon), SIAM J. Math. Anal., 47(5), 3813--3831 (2015). [pdf]

[10] Asymptotic analysis of Vlasov-type equations under strong local alignment regime (with A. Vasseur), Math. Mod. Meth. Appl. Sci., 25 (11), 2153--2173 (2015) [pdf]

[9] A hydrodynamic model for the interaction of Cucker-Smale particles and incompressible fluid (with S.-Y. Ha and B. Kwon), Math. Mod. Meth. Appl. Sci., 24, 2311--2359 (2014) [pdf]

[8] Contractivity of transport distances for the kinetic Kuramoto equation (with J. A. Carrillo, Y.-P. Choi, S.-Y. Ha and Y. Kim), Journal of Statistical Physics, 156, pp.395-415 (2014) [pdf]

[7] Global existence of strong solution for the Cucker-Smale-Navier-Stokes system (with H.-O. Bae, Y.-P. Choi and S.-Y. Ha), Journal of Differential Equations, 257, pp. 2225--2255 (2014) [pdf]

[6] Asymptotic flocking dynamics of Cucker-Smale particles immersed in compressible fluids (with H.-O. Bae, Y.-P. Choi and S.-Y. Ha), Discrete and Continuous Dynamical Systems - Series A, 34, 11, pp.4419--4458 (2014) [pdf]

[5] Fast and slow relaxations to bi-cluster configurations for the ensemble of Kuramoto oscillators (with S.-Y. Ha), Quarterly of Applied Mathematics, 71, 707-728 (2013) [pdf]

[4] A class of interacting particle systems on the infinite cylinder with flocking phenomena (with S.-Y. Ha, C. Lattanzio and B. Rubino), Math. Mod. Meth. Appl. Sci., 22, 125008 (2012) [pdf]

[3] On the basin of attractors for the unidirectionally coupled Kuramoto model in a ring (with S.-Y. Ha)., SIAM J. Appl. Math. 72-5, pp. 1549-1574 (2012)[pdf]

[2] The Cucker-Smale flocking model interacting with an incompressible viscous fluid (with H.-O. Bae, Y.-P. Choi and S.-Y. Ha), Nonlinearity 24, 1155 (2012) [pdf]

[1] Emergent behavior of a generalized Viscek model for flocking (with S.-Y. Ha and E. Jeong ), Nonlinearity, 23, 3139 (2010) [pdf]