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Multiple-Scale Analysis of Boundary-Value Problems in Thick Multi-Level Junctions of Type 3:2:2

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Multiple-Scale Analysis of Boundary-Value Problems in Thick Multi-Level Junctions of Type 3:2:2/ by Taras Mel'nyk, Dmytro Sadovyi.
作者:	Mel'nyk, Taras.
其他作者:	Sadovyi, Dmytro.
面頁冊數:	VIII, 105 p. 7 illus., 2 illus. in color.online resource. :
Contained By:	Springer Nature eBook
標題:	Partial differential equations. -
電子資源:	https://doi.org/10.1007/978-3-030-35537-1
ISBN:	9783030355371

Multiple-Scale Analysis of Boundary-Value Problems in Thick Multi-Level Junctions of Type 3:2:2
Mel'nyk, Taras.

Multiple-Scale Analysis of Boundary-Value Problems in Thick Multi-Level Junctions of Type 3:2:2[electronic resource] /by Taras Mel'nyk, Dmytro Sadovyi. - 1st ed. 2019. - VIII, 105 p. 7 illus., 2 illus. in color.online resource. - SpringerBriefs in Mathematics,2191-8198. - SpringerBriefs in Mathematics,.

1 Introduction -- 2 Homogenization of Linear Elliptic Problems -- 3 Homogenization of Elliptic Problems in Thick Junctions with Sharp Edges -- 4 Homogenization of Semilinear Parabolic Problems -- 5 Asymptotic Approximations for Solutions to Semilinear Problems -- References.

This book presents asymptotic methods for boundary-value problems (linear and semilinear, elliptic and parabolic) in so-called thick multi-level junctions. These complicated structures appear in a large variety of applications. A concise and readable introduction to the topic, the book provides a full review of the literature as well as a presentation of results of the authors, including the homogenization of boundary-value problems in thick multi-level junctions with non-Lipschitz boundaries, and the construction of approximations for solutions to semilinear problems. Including end-of-chapter conclusions discussing the results and their physical interpretations, this book will be of interest to researchers and graduate students in asymptotic analysis and applied mathematics as well as to physicists, chemists and engineers interested in processes such as heat and mass transfer.

ISBN: 9783030355371

Standard No.: 10.1007/978-3-030-35537-1doiSubjects--Topical Terms:

1102982
Partial differential equations.

LC Class. No.: QA370-380

Dewey Class. No.: 515.353

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