Numerical coupling of nonconservative or kinetic models with the conservative compressible Navier-Stokes equations

Danchin: On the well-posedness of the full compressible Navier-Stokes system in critical Besov spaces, Journal of Differential Equations, (2015).

We are concerned with the Cauchy problem for the two-dimensional compressible Navier-Stokes equations supplemented with general H 1 initial velocity and bounded initial density

Danchin: Well-posedness in critical spaces for barotropic viscous fluids with truly nonconstant density, Communications in Partial Differential Equations, 32 , 1373–1397 (2007).

The very first work concerning NBC was done by Solonnikov and ˇ Sˇ cadilov [10] for α = 0 where the authors considered stationary Stokes system with Dirichlet condition on some part

When the velocity is not prescribed, an explicit expression of the kinetic energy flux across the boundary of the domain can be established, and this result may be used to derive

Lorsqu’un écrit scientifique issu d’une activité de recherche financée au moins pour moitié par des dotations de l’État, des collectivités territoriales ou des

in Sobolev spaces of sufficiently high order, then we show the existence of a solution in a particular case and finally we solve the general case by using the

We first establish the existence and uniqueness of the solution for the two-dimensional unsteady linearized compressible Navier–Stokes equations in a rectangle with