The main purpose of this chapter is to give a derivation, which is mathematically precise,
physically natural, and conceptually simple, of the quasilinear system of partial differential …

This book aims to bridge the gap between practising mathematicians and the practitioners of
turbulence theory. It presents the mathematical theory of turbulence to engineers and …

A system of equations in Lagrange variables for a viscous perfect gas in one-dimensional
motion with plane waves is studied. Unique solvability of the problem of gas flow in a …

VA Vaigant, AV Kazhikhov, “On existence of global solutions to the two-dimensional Navier–Stokes
equations for a compressible viscous fluid”, Sibirsk. Mat. Zh., 36:6 (1995), 1283–1316; Siberian …

Existence and uniqueness theorems are presented for the equations of motion of a
compressible viscous fluid expressed in terms of the density, fluid velocity, and temperature …

We extend the well-known Serrin's blowup criterion for the three-dimensional (3D)
incompressible Navier–Stokes equations to the 3D viscous compressible cases. It is shown …

This paper concerns the existence of global weak solutions to the barotropic compressible
Navier-Stokes equations with degenerate viscosity coefficients. We construct suitable …

An initial-boundary value problem for nonlinear magnetohydrodynamics (MHD) in one
space dimension with general large initial data is investigated. The equations of state have …

In this paper, we considerably extend the results on global existence of entropy-weak
solutions to the compressible Navier–Stokes system with density dependent viscosities …

We establish the vanishing viscosity limit of the Navier‐Stokes equations to the isentropic
Euler equations for one‐dimensional compressible fluid flow. For the Navier‐Stokes …