书目名称 | Singular Perturbations and Boundary Layers |
编辑 | Gung-Min Gie,Makram Hamouda,Roger M. Temam |
视频video | |
概述 | Relatively self-contained, although some familiarity with functional analysis is desirable.The presentation is very progressive, starting with simple one-dimensional problems which can be solved expli |
丛书名称 | Applied Mathematical Sciences |
图书封面 |  |
描述 | .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. ..This bookis a fairly unique resource regarding the rigorous mathematical treatment of boundary layer problems. The explicit methodology developed in this book extends in many different directions the concept of correctors initial |
出版日期 | Book 2018 |
关键词 | boundary layers; singular perturbations; asymptotic expansions; vanishing viscosity limit; transition la |
版次 | 1 |
doi | https://doi.org/10.1007/978-3-030-00638-9 |
isbn_ebook | 978-3-030-00638-9Series ISSN 0066-5452 Series E-ISSN 2196-968X |
issn_series | 0066-5452 |
copyright | Springer Nature Switzerland AG 2018 |