The parameters n, k, Po, Vo, and/~ o are fixed. Positive constants that depend at most on
these quantities are denoted by c. Below we also introduce the positive constants ci, that …

Singular limits of the equations of compressible ideal magneto-hydrodynamics with physical
boundary conditions are considered. The uniform existence of classical solutions with …

We study the singular limit problem of the three dimensional viscous compressible
magnetohydrodynamics with both slip and non-slip boundary conditions. The uniform …

This paper studies the asymptotic limit for solutions to the equations of
magnetohydrodynamics, specifically, the Navier–Stokes–Fourier system describing the …

We investigate the zero dielectric constant limit to the non-isentropic compressible Euler-
Maxwell system. We justify this singular limit rigorously in the framework of smooth solutions …

We consider the initial-boundary value problem in the halfspace for the system of equations
of ideal Magneto-Hydrodynamics with a perfectly conducting wall boundary condition. We …

Small Alfvén number limit of the shallow water magnetohydrodynamic equations with ill-
prepared initial data is proved by applying fast averaging method. It is rigorously justified …

In the beginning of the 1990s we devoted a sequence of papers to perturbation theory,
singular limits and well-posedness problems. In particular, the strong well-posedness of the …

In this paper, we study the singular limit of three-dimensional nonisentropic compressible
ideal MHD equations with horizontal boundary conditions. It is rigorously justified that, when …

This thesis contains a set of articles concerned with flow of a viscous, compressible and heat
conducting fluids in several kinds of domains. The first part is devoted to the existence of …