50 citations · 181 across the 22 of their papers we have counts for
7 papers · 2 filters
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…