Title: Small Viscosity and Boundary Layer Methods
Description: This book is an introduction to the stability analysis of noncharacteristic boundary layers, emphasizing selected topics and developing mathematical tools relevant to the study of multidimensional problems. Boundary layers are present in problems from physics, engineering, mechanics, and fluid mechanics and typically appear for problems with small diffusion. Boundary layers also occur in free boundary value problems, particularly in the analysis of shock waves. The main goal of this presentation is to provide basic tools for the understanding of multidimensional boundary layers for systems. Included are self-contained introductions to different topics such as hyperbolic boundary value problems, parabolic systems, WKB methods, construction of profiles, introduction to the theory of Evans’ functions, and energy methods with Kreiss’ symmetrizers.
Subjects: Partial Differential equations, Mathematics, Surfaces (Physics), Differential equations, partial, Computer science, Mathematical physics, Characterization and Evaluation of Materials, Applications of Mathematics, Computational Mathematics and Numerical Analysis, Mathematical and Computational Physics Theoretical, Mathematical Methods in Physics