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Singular Perturbations and Boundary Layers

Singular Perturbations and Boundary Layers

Hardcover

Series: Applied Mathematical Sciences, Book 200

General Mathematics

ISBN10: 3030006379
ISBN13: 9783030006372
Publisher: Springer Nature
Published: Nov 29 2018
Pages: 412
Weight: 1.71
Height: 0.94 Width: 6.14 Depth: 9.21
Language: English

Singular perturbations occur when a small coefficient affects the highest order derivatives in a system of partial differential equations. From the physical point of view singular perturbations generate in the system under consideration thin layers located often but not always at the boundary of the domains that are called boundary layers or internal layers if the layer is located inside the domain. Important physical phenomena occur in boundary layers. The most common boundary layers appear in fluid mechanics, e.g., the flow of air around an airfoil or a whole airplane, or the flow of air around a car. Also in many instances in geophysical fluid mechanics, like the interface of air and earth, or air and ocean. This self-contained monograph is devoted to the study of certain classes of singular perturbation problems mostly related to thermic, fluid mechanics and optics and where mostly elliptic or parabolic equations in a bounded domain are considered.

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General Mathematics