Preliminaries -- Regular and Singular Perturbations -- Evolution Equations in Hilbert Spaces -- Singularly Perturbed Hyperbolic Problems -- Presentation of the Problems -- Hyperbolic Systems with Algebraic Boundary Conditions -- Hyperbolic Systems with Dynamic Boundary Conditions -- Singularly Perturbed Coupled Boundary Value Problems -- Presentation of the Problems -- The Stationary Case -- The Evolutionary Case -- Elliptic and Hyperbolic Regularizations of Parabolic Problems -- Presentation of the Problems -- The Linear Case -- The Nonlinear Case
Summary
This book offers a detailed asymptotic analysis of some important classes of singularly perturbed boundary value problems which are mathematical models for various phenomena in biology, chemistry, and engineering. The authors are particularly interested in nonlinear problems, which have hardly been examined so far in the literature dedicated to singular perturbations. This book proposes to fill in this gap, since most applications are described by nonlinear models. Their asymptotic analysis is very interesting, but requires special methods and tools. The treatment presented in this volume comb
Bibliography
Includes bibliographical references (pages 227-230) and index
