We establish the local existence and uniqueness of multi‐dimensional contact
discontinuities for the ideal compressible magnetohydrodynamics (MHD) in Sobolev spaces …

We consider the motion of two inviscid, compressible, and electrically conducting fluids
separated by an interface across which there is no fluid flow in the presence of surface …

We consider the plasma-vacuum interface problem in a classical statement when in the
plasma region the flow is governed by the equations of ideal compressible …

We prove the local-in-time existence of solutions with a contact discontinuity of the equations
of ideal compressible magnetohydrodynamics (MHD) for two dimensional planar flows …

We study the free boundary problem for the flow of a compressible isentropic inviscid elastic
fluid. At the free boundary moving with the velocity of the fluid particles the columns of the …

In this article, we consider a class of the contact discontinuity for the full compressible Euler
equations, namely the entropy wave, where the velocity is continuous across the interface …

We study the system of nonisentropic thermoelasticity describing the motion of thermoelastic
nonconductors of heat in two and three spatial dimensions, where the frame-indifferent …

We study the free boundary problem for a contact discontinuity for the system of relativistic
magnetohydrodynamics. A surface of contact discontinuity is a characteristic of this system …

Доказательство локального по времени существования и единственности гладкого
решения задачи со свободной границей для гиперболической системы законов …

We are concerned with a model of ideal compressible isentropic two-fluid
magnetohydrodynamics (MHD). Introducing an entropy-like function, we reduce the …