Local-in-time well-posedness for compressible MHD boundary layer
نویسندگان
چکیده
منابع مشابه
The Compressible Viscous Surface-Internal Wave Problem: Local Well-Posedness
This paper concerns the dynamics of two layers of compressible, barotropic, viscous fluid lying atop one another. The lower fluid is bounded below by a rigid bottom, and the upper fluid is bounded above by a trivial fluid of constant pressure. This is a free boundary problem: the interfaces between the fluids and above the upper fluid are free to move. The fluids are acted on by gravity in the ...
متن کاملWell Posedness for the Motion of a Compressible Liquid with Free Surface Boundary
Abstract. We study the motion of a compressible perfect liquid body in vacuum. This can be thought of as a model for the motion of the ocean or a star. The free surface moves with the velocity of the liquid and the pressure vanishes on the free surface. This leads to a free boundary problem for Euler’s equations, where the regularity of the boundary enters to highest order. We prove local exist...
متن کاملWell-posedness for the Linearized Motion of a Compressible Liquid with Free Surface Boundary
(1.2) (∂t + V ∂k)ρ+ ρdivV = 0, divV = ∂kV k in D, where V k = δvi = vk and we use the summation convention over repeated upper and lower indices. Here the velocity V = (V , ..., V ), the density ρ and the domain D = ∪0≤t≤T {t}× Dt, Dt ⊂ R are to be determined. The pressure p = p (ρ) is assumed to be a given strictly increasing smooth function of the density. The boundary ∂Dt moves with the velo...
متن کاملInhomogeneous Boundary Value Problems for Compressible Navier-Stokes Equations: Well-Posedness and Sensitivity Analysis
In the paper compressible, stationary Navier-Stokes equations are considered. A framework for analysis of such equations is established. In particular, the well-posedness for inhomogeneous boundary value problems of elliptic-hyperbolic type is shown. Analysis is performed for small perturbations of the so-called approximate solutions, i.e., the solutions take form (1.12). The approximate soluti...
متن کاملMaximal dissipation and well-posedness for the compressible Euler system
We discuss the problem of well-posedness of the compressible (barotropic) Euler system in the framework of weak solutions. The principle of maximal dissipation introduced by C.M. Dafermos is adapted and combined with the concept of admissible weak solutions. We use the method of convex integration in the spirit of the recent work of C.DeLellis and L.Székelyhidi to show various counterexamples t...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Differential Equations
سال: 2019
ISSN: 0022-0396
DOI: 10.1016/j.jde.2018.08.052