Title: Small viscosity and boundary layer methods : theory, stability analysis, and applications /
Authors: Métivier, Guy.
Publisher: Birkhäuser,
Year: 2004
Subjects: Boundary layer; Viscous flow.
Abstract: "This monograph is a valuable text for researchers, practitioners, and graduate students in applied mathematics, mathematical physics, and engineering and will be a useful supplement for the study of mathematical models in the applied sciences. Prerequisites for the reader include standard courses in analysis, integration theory, and PDEs."--BOOK JACKET.
Contents: Part I. Semilinear layers -- 1. Introduction and example -- 2. Hyperbolic mixed problems -- 3. Hyperbolic-parabolic problems -- 4. Semilinear boundary layers -- Part II. Quasilinear layers -- 5. Quasilinear boundary layers: The inner layer ODE -- 6. Plane wave stability -- 7. Stability estimates -- 8. Kreiss symmetrizers for hyperbolic-parabolic systems -- 9. Linear and nonlinear stability of quasilinear boundary layers.