Singular Limits in Thermodynamics of Viscous Fluids

• Main Authors: Feireisl, Eduard. (Author), Novotn<U+00fd>, Antonn̕. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic
• Language: English
• Published: Basel : Birkhũser Basel, 2009.
• Series: Advances in Mathematical Fluid Mechanics
• Subjects: Mathematics.; Differential equations, partial.; Thermodynamics.; Partial Differential Equations.; Mechanics, Fluids, Thermodynamics.
• Online Access: https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-3-7643-8843-0

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:

• 1 Fluid flow modeling
• 2 Mathematical theory of weak solutions
• 3 Existence theory
• 4 Asymptotic analysis - an introduction
• 5 Singular limits - low stratification
• 6 Stratified fluids
• 7 Refined analysis of the acoustic waves
• 8 Appendix
• 9 Bibliographic remarks.