Since the 1980s, Fourier analysis methods have become of ever greater interest in the study
of linear and nonlinear partial differential equations. In particular, techniques based on …

Advances in Mathematical Fluid Mechanics is a forum for the publication of high quality
monographs, or collections of works, on the mathematical theory of fluid mechanics, with …

We consider a two dimensional viscous shallow water model with friction term. Existence of
global weak solutions is obtained and convergence to the strong solution of the viscous …

Aimed at graduate students, researchers and academics in mathematics, engineering,
oceanography, meteorology and mechanics, this text provides a detailed introduction to the …

In this survey paper, we are concerned with the zero Mach number limit for compressible
viscous flows. For the sake of (mathematical) simplicity, we restrict ourselves to the case of …

The low Mach number limit for classical solutions of the full Navier-Stokes equations is here
studied. The combined effects of large temperature variations and thermal conduction are …

The purpose of this work is to investigate the problem of global in time existence of
sequences of weak solutions to the Navier–Stokes equations for viscous compressible and …

These notes are devoted to the study of some problems related to shallow-water equations.
In particular, we will review results from derivations of shallow-water systems which depend …

This paper is devoted to the low Mach number limit of weak solutions to the compressible
Navier–Stokes equations for isentropic fluids in the whole space R d (d= 2 or 3). This …

From the Boltzmann Equations to the Equations of Incompressible Fluid Mechanics, I Page 1
Arch. Rational Mech. Anal. 158 (2001) 173–193 Digital Object Identifier (DOI) 10.1007/s002050100143 …