204 citations · 802 across the 58 of their papers we have counts for
11 papers · 1 filter
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…
Blow-up solutions to 3D Euler are hydrodynamically unstable
Alexis Vasseur, Misha Vishik
We study the interaction between the stability, and the propagation of regularity, for solutions to the incompressible 3D Euler equation. It is still unknown whether a solution wit…
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…
Partial Regularity in Time for the Space Homogeneous Landau Equation with Coulomb Potential
François Golse, Maria Pia Gualdani, Cyril Imbert +1
We prove that the set of singular times for weak solutions of the space homogeneous Landau equation with Coulomb potential constructed as in [C. Villani, Arch. Rational Mech. Anal.…
Holder Regularity up to the Boundary for Critical SQG on Bounded Domains
Logan Stokols, Alexis Vasseur
We consider the dissipative SQG equation in bounded domains, first introduced by Constantin and Ignatova in 2016. We show global Holder regularity up to the boundary of the solutio…