The Periodic Unfolding Method: Theory and Applications to Partial Differential Problems: 3 (Series in Contemporary Mathematics, 3) - Hardcover
Book 3 of 4: Series in Contemporary Mathematics
Synopsis
This is the first book on the subject of the periodic unfolding method (originally called "éclatement périodique" in French), which was originally developed to clarify and simplify many questions arising in the homogenization of PDE's. It has since led to the solution of some open problems.
Written by the three mathematicians who developed the method, the book presents both the theory as well as numerous examples of applications for partial differential problems with rapidly oscillating coefficients: in fixed domains (Part I), in periodically perforated domains (Part II), and in domains with small holes generating a strange term (Part IV). The method applies to the case of multiple microscopic scales (with finitely many distinct scales) which is connected to partial unfolding (also useful for evolution problems). This is discussed in the framework of oscillating boundaries (Part III). A detailed example of its application to linear elasticity is presented in the case of thin elastic plates (Part V). Lastly, a complete determination of correctors for the model problem in Part I is obtained (Part VI).
This book can be used as a graduate textbook to introduce the theory of homogenization of partial differential problems, and is also a must for researchers interested in this field.
"synopsis" may belong to another edition of this title.
From the Back Cover
This is the first book on the subject of the periodic unfolding method (originally called "éclatement périodique" in French), which was originally developed to clarify and simplify many questions arising in the homogenization of PDE's. It has since led to the solution of some open problems.
Written by the three mathematicians who developed the method, the book presents both the theory as well as numerous examples of applications for partial differential problems with rapidly oscillating coefficients: in fixed domains (Part I), in periodically perforated domains (Part II), and in domains with small holes generating a strange term (Part IV). The method applies to the case of multiple microscopic scales (with finitely many distinct scales) which is connected to partial unfolding (also useful for evolution problems). This is discussed in the framework of oscillating boundaries (Part III). A detailed example of its application to linear elasticity is presented in the case of thin elastic plates (Part V). Lastly, a complete determination of correctors for the model problem in Part I is obtained (Part VI).
This book can be used as a graduate textbook to introduce the theory of homogenization of partial differential problems, and is also a must for researchers interested in this field.
"About this title" may belong to another edition of this title.
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The Periodic Unfolding Method: Theory and Applications to Partial Differential Problems (Series in Contemporary Mathematics, 3)
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Periodic Unfolding Method for Partial Differential Problems : Theory and Applications to Partial Differential Problems
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The Periodic Unfolding Method
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Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. The first book presenting the Periodic Unfolding Method in detail, written by the three mathematicians who developed itSignificantly clarifies and simplifies the approach of homogenization for partial differential problemsContains detailed t. Seller Inventory # 252292092
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The Periodic Unfolding Method
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Buch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Thisis the first book on thesubject of the periodic unfolding method (originally called 'éclatement périodique' in French), which was originally developed to clarify and simplify many questions arising in the homogenization of PDE's. It has since led to the solution of some open problems. Written by the three mathematicians who developed the method, the book presents both the theory as well as numerous examples of applications for partial differential problems with rapidly oscillating coefficients: in fixed domains (Part I), in periodically perforated domains (Part II), and in domains with small holes generating a strange term (Part IV). The method applies to the case of multiple microscopic scales (with finitely many distinct scales) which is connected to partial unfolding (also useful for evolution problems). This is discussed in the framework of oscillating boundaries (Part III). A detailed example of its application to linear elasticity is presented in the case of thin elastic plates (Part V). Lastly, a complete determination of correctors for the model problem in Part I is obtained (Part VI). This book can be used as a graduate textbook to introduce the theory of homogenization of partial differential problems, and is also a must for researchers interested in this field. 536 pp. Englisch. Seller Inventory # 9789811330315
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Periodic Unfolding Method for Partial Differential Problems : Theory and Applications to Partial Differential Problems
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The Periodic Unfolding Method: Theory and Applications to Partial Differential Problems (Series in Contemporary Mathematics, 3)
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The Periodic Unfolding Method
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Buch. Condition: Neu. This item is printed on demand - Print on Demand Titel. Neuware -This is the first book on the subject of the periodic unfolding method (originally called 'éclatement périodique' in French), which was originally developed to clarify and simplify many questions arising in the homogenization of PDE's. It has since led to the solution of some open problems.Written by the three mathematicians who developed the method, the book presents both the theory as well as numerous examples of applications for partial differential problems with rapidly oscillating coefficients: in fixed domains (Part I), in periodically perforated domains (Part II), and in domains with small holes generating a strange term (Part IV). The method applies to the case of multiple microscopic scales (with finitely many distinct scales) which is connected to partial unfolding (also useful for evolution problems). This is discussed in the framework of oscillating boundaries (Part III). A detailed example of its application to linear elasticity is presented in the case of thin elastic plates (Part V). Lastly, a complete determination of correctors for the model problem in Part I is obtained (Part VI).This book can be used as a graduate textbook to introduce the theory of homogenization of partial differential problems, and is also a must for researchers interested in this field.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 536 pp. Englisch. Seller Inventory # 9789811330315
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The Periodic Unfolding Method: Theory and Applications to Partial Differential Problems: 3 (Series in Contemporary Mathematics)
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The Periodic Unfolding Method : Theory and Applications to Partial Differential Problems
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Buch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - Thisis the first book on thesubject of the periodic unfolding method (originally called 'éclatement périodique' in French), which was originally developed to clarify and simplify many questions arising in the homogenization of PDE's. It has since led to the solution of some open problems. Written by the three mathematicians who developed the method, the book presents both the theory as well as numerous examples of applications for partial differential problems with rapidly oscillating coefficients: in fixed domains (Part I), in periodically perforated domains (Part II), and in domains with small holes generating a strange term (Part IV). The method applies to the case of multiple microscopic scales (with finitely many distinct scales) which is connected to partial unfolding (also useful for evolution problems). This is discussed in the framework of oscillating boundaries (Part III). A detailed example of its application to linear elasticity is presented in the case of thin elastic plates (Part V). Lastly, a complete determination of correctors for the model problem in Part I is obtained (Part VI). This book can be used as a graduate textbook to introduce the theory of homogenization of partial differential problems, and is also a must for researchers interested in this field. Seller Inventory # 9789811330315