Details

Singular Limits in Thermodynamics of Viscous Fluids

Advances in Mathematical Fluid Mechanics

von: Eduard Feireisl, Antonín Novotný
139,09 €
Verlag:	Birkhäuser
Format:	PDF
Veröffentl.:	28.03.2009
ISBN/EAN:	9783764388430
Sprache:	englisch
Anzahl Seiten:	382

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Titelbeschreibung

<P>Many interesting problems in mathematical fluid dynamics involve the behavior of solutions of nonlinear systems of partial differential equations as certain parameters vanish or become infinite. Frequently the limiting solution, provided the limit exists, satisfies a qualitatively different system of differential equations. This book is designed as an introduction to the problems involving singular limits based on the concept of weak or variational solutions. The primitive system consists of a complete system of partial differential equations describing the time evolution of the three basic state variables: the density, the velocity, and the absolute temperature associated to a fluid, which is supposed to be compressible, viscous, and heat conducting. It can be represented by the Navier-Stokes-Fourier-system that combines Newton's rheological law for the viscous stress and Fourier's law of heat conduction for the internal energy flux.</P>
<P>As a summary, this book studies singular limits of weak solutions to the system governing the flow of thermally conducting compressible viscous fluids.</P>

Inhaltsverzeichnis

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.