50 citations · 181 across the 22 of their papers we have counts for
24 papers
Time-asymptotic stability of generic Riemann solutions for compressible Navier-Stokes-Fourier equations
Moon-Jin Kang, Alexis Vasseur, Yi Wang
We establish the time-asymptotic stability of solutions to the one-dimensional compressible Navier-Stokes-Fourier equations, with initial data perturbed from Riemann data that form…
Large-time behavior of composite waves of viscous shocks for the barotropic Navier-Stokes equations
Sungho Han, Moon-Jin Kang, Jeongho Kim
We study the large-time behavior of the 1D barotropic Navier-Stokes flow perturbed from Riemann data generating a composition of two shock waves with small amplitudes. We prove tha…
Time-asymptotic stability of composite waves of viscous shock and rarefaction for barotropic Navier-Stokes equations
Moon-Jin Kang, Alexis F. Vasseur, Yi Wang
We prove the time-asymptotic stability of composite waves consisting of the superposition of a viscous shock and a rarefaction for the one-dimensional compressible barotropic Navie…
Well-posedness of the Riemann problem with two shocks for the isentropic Euler system in a class of vanishing physical viscosity limits
Moon-Jin Kang, Alexis Vasseur
We consider the Riemann problem composed of two shocks for the 1D Euler system. We show that the Riemann solution with two shocks is stable and unique in the class of weak inviscid…
Uniqueness of a planar contact discontinuity for 3D compressible Euler system in a class of zero dissipation limits from Navier-Stokes-Fourier system
Moon-Jin Kang, Alexis Vasseur, Yi Wang
We prove the stability of contact discontinuities without shear, a family of special discontinuous solutions for the three-dimensional full Euler systems, in the class of vanishing…
Global well-posedness of large perturbations of traveling waves in a hyperbolic-parabolic system arising from a chemotaxis model
Kyudong Choi, Moon-Jin Kang, Alexis Vasseur
We consider a one-dimensional system arising from a chemotaxis model in tumour angiogenesis, which is described by a Keller-Segel equation with singular sensitivity. This hyperboli…
Propagation of the mono-kinetic solution in the Cucker-Smale-type kinetic equations
Moon-Jin Kang, Jeongho Kim
In this paper, we study the propagation of the mono-kinetic distribution in the Cucker-Smale-type kinetic equations. More precisely, if the initial distribution is a Dirac mass for…
Global smooth solutions for 1D barotropic Navier-Stokes equations with a large class of degenerate viscosities
Moon-Jin Kang, Alexis Vasseur
We prove the global existence and uniqueness of smooth solutions to the one-dimensional barotropic Navier-Stokes system with degenerate viscosity . We establish that the…
Inviscid limit to the shock waves for the fractal Burgers equation
Sona Akopian, Moon-Jin Kang, Alexis Vasseur
We show the vanishing viscosity limit to entropy shocks for the fractal Burgers equation in one space dimension. More precisely, we quantify the rate of convergence of the inviscid…
Contraction for large perturbations of traveling waves in a hyperbolic-parabolic system arising from a chemotaxis model
Kyudong Choi, Moon-Jin Kang, Young-Sam Kwon +1
We consider a hyperbolic-parabolic system arising from a chemotaxis model in angiogenesis, which is described by a Keller-Segel equation with singular sensitivity. It is known to a…
Uniqueness and stability of entropy shocks to the isentropic Euler system in a class of inviscid limits from a large family of Navier-Stokes systems
Moon-Jin Kang, Alexis Vasseur
We prove the uniqueness and stability of entropy shocks to the isentropic Euler systems among all vanishing viscosity limits of solutions to associated Navier-Stokes systems. To ta…
-type contraction for shocks of scalar viscous conservation laws with strictly convex flux
Moon-Jin Kang
We study the -type contraction property of large perturbations around shock waves of scalar viscous conservation laws with strictly convex fluxes in one space dimension. The c…
Contraction property for large perturbations of shocks of the barotropic Navier-Stokes system
Moon-Jin Kang, Alexis Vasseur
This paper is dedicated to the construction of a pseudo-norm, for which small shock profiles of the barotropic Navier-Stokes equation have a contraction property. This contraction…
A rigorous derivation from the kinetic Cucker-Smale model to the pressureless Euler system with nonlocal alignment
Alessio Figalli, Moon-Jin Kang
We consider the kinetic Cucker-Smale model with local alignment as a mesoscopic description for the flocking dynamics. The local alignment was first proposed by Karper, Mellet and…
-contraction of large planar shock waves for multi-dimensional scalar viscous conservation laws
Moon-Jin Kang, Alexis Vasseur, Yi Wang
We consider a -contraction of large viscous shock waves for the multi-dimensional scalar viscous conservation laws, up to a suitable shift. The shift function depends on the t…
Dynamics of a spatially homogeneous Vicsek model for oriented particles on the plane
Moon-Jin Kang, Javier Morales
We consider a spatially homogeneous Kolmogorov-Vicsek model in two dimensions, which describes the alignment dynamics of self-driven stochastic particles that move on the plane at…
Existence and stability of planar shocks of viscous scalar conservation laws with space-periodic flux
Anne-Laure Dalibard, Moon-Jin Kang
The goal of this paper is to prove the existence and stability of shocks for viscous scalar conservation laws with space periodic flux, in the multi-dimensional case. Such a result…
Non-contraction of intermediate admissible discontinuities for 3-D planar isentropic magnetohydrodynamics
Moon-Jin Kang
We investigate non-contraction of large perturbations around intermediate entropic shock waves and contact discontinuities for the three-dimensional planar compressible isentropic…
Global well-posedness of the spatially homogeneous Kolmogorov-Vicsek model as a gradient flow
Alessio Figalli, Moon-Jin Kang, Javier Morales
We consider the so-called spatially homogenous Kolmogorov-Vicsek model, a non-linear Fokker-Planck equation of self-driven stochastic particles with orientation interaction under t…
Criteria on contractions for entropic discontinuities of systems of conservation laws
Moon-Jin Kang, Alexis F. Vasseur
We study the contraction properties (up to shift) for admissible Rankine-Hugoniot discontinuities of systems of conservation laws endowed with a convex entropy. We firs…
Global weak solutions for Kolmogorov-Vicsek type equations with orientational interactions
Irene M. Gamba, Moon-Jin Kang
We study the global existence and uniqueness of weak solutions to kinetic Kolmogorov-Vicsek models that can be considered a non-local non-linear Fokker-Planck type equation describ…
Asymptotic analysis of Vlasov-type equations under strong local alignment regime
Moon-Jin Kang, Alexis F. Vasseur
We consider the hydrodynamic limit of a collisionless and non-diffusive kinetic equation under strong local alignment regime. The local alignment is first considered by Karper, Mel…
-contraction for shock waves of scalar viscous conservation laws
Moon-Jin Kang, Alexis F. Vasseur
We consider the -contraction up to a shift for viscous shocks of scalar viscous conservation laws with strictly convex fluxes in one space dimension. In the case of a flux whi…
Contractivity of the Wasserstein metric for the kinetic Kuramoto equation
J. A. Carrillo, Y. -P. Choi, S. -Y. Ha +2
We present synchronization and contractivity estimates for the kinetic Kuramoto model obtained from the Kuramoto phase model in the mean-field limit. For identical Kuramoto oscilla…