Boundary-Interior Layer Interactions in Nonlinear Singular Perturbation Theory
Jan 1978 · American Mathematical Society: Memoirs of the American Mathematical Society Book 203 · American Mathematical Soc.
Ebook
108
Pages
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About this ebook
For three classes of singularly perturbed boundary value problems we study the existence of solutions which possess boundary, shock and corner layer behavior and we examine how these nonuniformities arise and how they influence one another. The keys to our analysis are the stability properties of solutions of corresponding reduced problems and the geometric properties of solutions of the boundary value problems inside such layers. Several examples of the theory are discussed in detail with a view to illustrating the naturalness of our approach.
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