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Global well-posedness and asymptotics for a penalized Boussinesq-type system without dispersion
Frédéric Charve
J.-Y. Chemin proved the convergence (as the Rossby number goes to zero) of the solutions of the Primitive Equations to the solution of the 3D quasi-geostrophic system when the…
Convergence of a low order non-local Navier-Stokes-Korteweg system: the order-parameter model
Frederic Charve
In the present article we consider a capillary compressible system introduced by C. Rohde after works of Bandon, Lin and Rogers, called the order-parameter model, and whose aim is…
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…
Existence of strong solutions in a larger space for the shallow-water system
Frédéric Charve, Boris Haspot
This paper is dedicated to the study of both viscous compressible barotropic fluids and Navier-Stokes equation with dependent density, when the viscosity coefficients are variable,…
Convergence of capillary fluid models: from the non-local to the local Korteweg model
Frédéric Charve, Boris Haspot
In this paper we are interested in the barotropic compressible Navier-Stokes system endowed with a non-local capillarity tensor depending on a small parameter such that it heur…