Singular Limits in Thermodynamics of Viscous Fluids (eBook) von Eduard Feireisl

Many problems in mathematical fluid dynamics involve the behavior of solutions of nonlinear systems of partial differential equations. This book is an introduction to the problems involving singular limits based on the concept of weak or variational solutions.

Fluid Flow Modeling.- Weak Solutions, A Priori Estimates.- Existence Theory.- Asymptotic Analysis An Introduction.- Singular Limits Low Stratification.- Stratified Fluids.- Interaction of Acoustic Waves with Boundary.- Problems on Large Domains.- Acoustic Analogies.- Bibliographical Remarks.

This book is about singular limits of systems of partial differential equations governing the motion of thermally conducting compressible viscous fluids.

"The main aim is to provide mathematically rigorous arguments how to get from the compressible Navier-Stokes-Fourier system several less complex systems of partial differential equations used e.g. in meteorology or astrophysics. However, the book contains also a detailed introduction to the modelling in mechanics and thermodynamics of fluids from the viewpoint of continuum physics. The book is very interesting and important. It can be recommended not only to specialists in the field, but it can also be used for doctoral students and young researches who want to start to work in the mathematical theory of compressible fluids and their asymptotic limits."
Milan Pokorný (zbMATH)

"This book is of the highest quality from every point of view. It presents, in a unified way, recent research material of fundament