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5 papers · 2 filters
Porous media, Fast diffusion equations and the existence of global weak solution for the quasi-solution of compressible Navier-Stokes equations
Boris Haspot
In \cite{arxiv,arxiv1,Kor,cras1,cras2}, we have developed a new tool called \textit{quasi solutions} which approximate in some sense the compressible Navier-Stokes equation. In par…
Existence of global strong solution for Korteweg system with large infinite energy initial data
Boris Haspot
This work is devoted to the study of the initial boundary value problem for a general isothermal model of capillary fluids derived by J.E Dunn and J.Serrin (1985), which can be use…
The influence of boundary conditions on the contact problem in a 3D Navier-Stokes Flow
David Gérard-Varet, Matthieu Hillairet, Chao Wang
We consider the free fall of a sphere above a wall in a viscous incompressible fluid. We investigate the influence of boundary conditions on the finite-time occurrence of contact b…
On a Lagrangian method for the convergence from a non-local to a local Korteweg capillary fluid model
Frederic Charve, Boris Haspot
In the present article we are interested in further investigations for the barotropic compressible Navier-Stokes system endowed with a non-local capillarity we studied in [7]. Than…
Homogenization and asymptotics for small transaction costs: the multidimensional case
Dylan Possamaï, H. Mete Soner, Nizar Touzi
In the context of the multi-dimensional infinite horizon optimal consumption-investment problem with proportional transaction costs, we provide the first order expansion in small t…