Singular Limits in Thermodynamics of Viscous Fluids

• Main Authors: Feireisl, Eduard (Author), Novotný, Antonín (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Basel : Birkhäuser Basel, 2009.
• Series: Advances in Mathematical Fluid Mechanics
• Subjects: Physics.; Mathematical analysis.; Analysis (Mathematics).; Partial differential equations.; Continuum physics.; Classical Continuum Physics.; Partial Differential Equations.; Analysis.

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 o...

Table of Contents:

• 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.