Publications (36)
On the Exponential decay for Compressible Navier-Stokes-Korteweg equations with a Drag Term
Didier Bresch, Marguerite Gisclon, Ingrid Lacroix-Violet +1
In this paper, we consider global weak solutions to com-pressible Navier-Stokes-Korteweg equations with density dependent viscosities , in a periodic domain , with…
The Inviscid 3D Quasi-Geostrophic System on Bounded Domains
Matthew Novack, Alexis Vasseur
We present a formal derivation of the inviscid 3D quasi-geostrophic system (QG) from primitive equations on a bounded, cylindrical domain. A key point in the derivation is the trea…
Solutions of the 4-species quadratic reaction-diffusion system are bounded and , in any space dimension
Cristina Caputo, Thierry Goudon, Alexis Vasseur
We establish the boundedness of solutions of reaction-diffusion systems with quadratic (in fact slightly super-quadratic) reaction terms that satisfy a natural entropy dissipation…
Global regularity of solutions to systems of reaction-diffusion with Sub-Quadratic Growth in any dimension
M. Cristina Caputo, Alexis Vasseur
This paper is devoted to the study of the regularity of solutions to some systems of reaction--diffusion equations, with reaction terms having a subquadratic growth. We show the gl…
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…
Global weak solution to the viscous two-fluid model with finite energy
Alexis Vasseur, Huanyao Wen, Cheng Yu
In this paper, we prove the existence of global weak solutions to the compressible two-fluid Navier-Stokes equations in three dimensional space. The pressure depends on two differe…