Notation, definitions, and function spaces -- 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 -- Appendix -- Bibliographical remarks
Summary
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. This book introduces the problems involving singular limits based on the concept of weak or variational solutions
