Synopsis
Many physical problems are meaningfully formulated in a cylindrical domain. When the size of the cylinder goes to infinity, the solutions, under certain symmetry conditions, are expected to be identical in every cross-section of the domain. The proof of this, however, is sometimes difficult and almost never given in the literature. The present book partially fills this gap by providing proofs of the asymptotic behaviour of solutions to various important cases of linear and nonlinear problems in the theory of elliptic and parabolic partial differential equations.
The book is a valuable resource for graduates and researchers in applied mathematics and for engineers. Many results presented here are original and have not been published elsewhere. They will motivate and enable the reader to apply the theory to other problems in partial differential equations.
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Product Description
I Goes to Plus Infinity Provides proofs of the asymptotic behavior of solutions to various important cases of linear and nonlinear problems in the theory of elliptic and parabolic partial differential equations. This book is suitable for graduates and researchers in applied mathematics and for engineers. Full description
Synopsis
This graduate textbook accompanies the reader starting from the basics in the theory of elliptic problems to recent research topics concerning the asymptotic theory in cylindrical domains where many physical problems are settled. It is designed as a resource for graduates and researchers in applied mathematics and for engineers. Many physical problems are meaningfully formulated in a cylindrical domain. When the size of the cylinder goes to infinity, the solutions, under certain symmetry conditions, are expected to be identical in every cross-section of the domain. The proof of this, however, is sometimes difficult and almost never given in the literature. This book aims to partially fill this gap by providing proofs of the asymptotic behaviour of solutions to various important cases of linear and non-linear problems in the theory of elliptic and parabolic partial differential equations. Many results presented here are original and have not been published elsewhere. They are included with the aim of motivating and enabling the reader to apply the theory to other problems in partial differential equations.
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L goes to plus infinity (Birkhäuser Advanced Texts Basler Lehrbücher)
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Birkhäuser, Basel, Boston & Berlin, 2001
ISBN 10: 376436646X
ISBN 13: 9783764366469
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Original boards. Condition: Fine. Dust Jacket Condition: No Dust Jacket. First Edition; First Printing. With diagrams. Light wear to spine, covers & corners. ; This rigorous and insightful work is designed as a key resource for graduate students, researchers in applied mathematics, and engineers. Michel Chipot delves into the asymptotic behavior of solutions for a variety of linear and nonlinear problems in the theory of elliptic and parabolic partial differential equations. With original results and accessible explanations, the book guides the reader from foundational concepts to advanced methods, illuminating how mathematical solutions evolve as critical parametersâ"such as LLâ"go to plus infinity. Both theoretical development and practical implications are explored, helping bridge the gap between abstract analysis and engineering applications. ; Large 8vo 9" - 10" tall; viii, 181 pages. Seller Inventory # LCK90451
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L Goes to Plus Infinity (Birkhauser Advanced Texts)
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Goes to Plus Infinity
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Springer, Basel, Birkhäuser Basel, Birkhäuser Dez 2001, 2001
ISBN 10: 376436646X
ISBN 13: 9783764366469
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Buch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Many physical problems are meaningfully formulated in a cylindrical domain. When the size of the cylinder goes to infinity, the solutions, under certain symmetry conditions, are expected to be identical in every cross-section of the domain. The proof of this, however, is sometimes difficult and almost never given in the literature. The present book partially fills this gap by providing proofs of the asymptotic behaviour of solutions to various important cases of linear and nonlinear problems in the theory of elliptic and parabolic partial differential equations.The book is a valuable resource for graduates and researchers in applied mathematics and for engineers. Many results presented here are original and have not been published elsewhere. They will motivate and enable the reader to apply the theory to other problems in partial differential equations. 181 pp. Englisch. Seller Inventory # 9783764366469
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Goes to Plus Infinity
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Condition: New. Provides proofs of the asymptotic behavior of solutions to various important cases of linear and nonlinear problems in the theory of elliptic and parabolic partial differential equations. This book is suitable for graduates and researchers in applied mathematics and for engineers. Series: Birkhauser Advanced Texts / Basler Lehrbucher. Num Pages: 189 pages, biography. BIC Classification: PBKJ; PDE; TBJ. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly. Dimension: 234 x 156 x 12. Weight in Grams: 1000. . 2001. Hardback. . . . . Seller Inventory # V9783764366469