Singular Perturbations and Boundary Layers. 1st ed. 2018

種類:

電子ブック

責任表示:

by Gung-Min Gie, Makram Hamouda, Chang-Yeol Jung, Roger M. Temam

出版情報:

Cham : Springer International Publishing : Imprint: Springer, 2018

著者名:

• Gie, Gung-Min.
• Hamouda, Makram.
• Jung, Chang-Yeol.
• Temam, Roger M.
• SpringerLink (Online service)

シリーズ名:

Applied Mathematical Sciences ; 200

ISBN:

9783030006389 [3030006387]    

注記:

Chapter 01- Singular perturbations in dimension one -- Chapter 2- Singular perturbations in higher dimensions in a channel -- Chapter 3- Boundary layers in a curved domain in Rd, d = 2;3 -- Chapter 4- Corner layers and turning points for convection-diffusion equations -- Chapter 5- Convection-diffusion equations in a circular domain with characteristic point layers -- Chapter 6- The Navier-Stokes equations in a periodic channel -- Chapter 7- The Navier-Stokes equations in a curved domain -- Appendix -- References.
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 book is a fairly unique resource regarding the rigor

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