Nonlinear Evolution Equations In Thermoelasticity

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Nonlinear Evolution Equations In Thermoelasticity

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Author : Reinhard Racke
language : en
Publisher:
Release Date : 1996

Nonlinear Evolution Equations In Thermoelasticity written by Reinhard Racke and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with categories.

Lectures On Nonlinear Evolution Equations

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Author : Reinhard Racke
language : en
Publisher: Birkhäuser
Release Date : 2015-08-31

Lectures On Nonlinear Evolution Equations written by Reinhard Racke and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-08-31 with Mathematics categories.

This book mainly serves as an elementary, self-contained introduction to several important aspects of the theory of global solutions to initial value problems for nonlinear evolution equations. The book employs the classical method of continuation of local solutions with the help of a priori estimates obtained for small data. The existence and uniqueness of small, smooth solutions that are defined for all values of the time parameter are investigated. Moreover, the asymptotic behaviour of the solutions is described as time tends to infinity. The methods for nonlinear wave equations are discussed in detail. Other examples include the equations of elasticity, heat equations, the equations of thermoelasticity, Schrödinger equations, Klein-Gordon equations, Maxwell equations and plate equations. To emphasize the importance of studying the conditions under which small data problems offer global solutions, some blow-up results are briefly described. Moreover, the prospects for corresponding initial boundary value problems and for open questions are provided. In this second edition, initial-boundary value problems in waveguides are additionally considered.

Lectures On Nonlinear Evolution Equations

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Author : Reinhard Racke
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-06-29

Lectures On Nonlinear Evolution Equations written by Reinhard Racke and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-29 with Mathematics categories.

The book in hand is based on lectures which were given at the University of Bonn in the winter semesters of 1989/90 and 1990/91. The aim of the lectures was to present an elementary, self-contained introduction into some important aspects of the theory of global, small, smooth solutions to initial value problems for non linear evolution equa tions. The addressed audience included graduate students of both mathematics and physics who were only assumed to have abasie knowledge of linear partial differential equations. Thus, in the spirit of the underlying series, this book is intended to serve as a detailed basis for lectures on the subject as weIl as for self-studies for students or for other newcomers to this field. The presentation of the theory is made using the classical method of continuation of local solutions with the help of apriori estimates obtained for small data. The corre sponding global existence theorems have been proved mainly in the last decade, focussing on fully nonlinear systems; Related questions concerning large data problems, the ex istence of weak solutions or the analysis of &.hock waves are not discussed. Also the question of optimal regularity assumptions on the coefficients is beyond the scope of the book and is touched only in part and exemplarily.

Evolution Equations In Thermoelasticity

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Author : Reinhard Racke
language : en
Publisher: CRC Press
Release Date : 2000-06-21

Evolution Equations In Thermoelasticity written by Reinhard Racke and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-06-21 with Mathematics categories.

Although the study of classical thermoelasticity has provided information on linear systems, only recently have results on the asymptotic behavior completed our basic understanding of the generic behavior of solutions. Through systematic work that began in the 80s, we now also understand the basic features of nonlinear systems. Yet some questions remain open, and the field has lacked a comprehensive survey that explores these past results and presents recent developments. Evolution Equations in Thermoelasticity presents a modern treatment of initial value problems and of initial boundary value problems in both linear and nonlinear thermoelasticity, in one- and multi-dimensional spatial configurations. The authors provide the first self-contained presentation of the subject that offers both introductory parts accessible to graduate students and sophisticated sections valuable to experts.

Nonlinear Evolution Equations

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Author : Songmu Zheng
language : en
Publisher: CRC Press
Release Date : 2004-07-08

Nonlinear Evolution Equations written by Songmu Zheng and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-07-08 with Mathematics categories.

Nonlinear evolution equations arise in many fields of sciences including physics, mechanics, and material science. This book introduces some important methods for dealing with these equations and explains clearly and concisely a wide range of relevant theories and techniques. These include the semigroup method, the compactness and monotone operator

Qualitative Aspects And Applications Of Nonlinear Evolution Equations Proceedings Of The Workshop

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Author : H Beirao Da Veiga
language : en
Publisher: World Scientific
Release Date : 1994-05-31

Qualitative Aspects And Applications Of Nonlinear Evolution Equations Proceedings Of The Workshop written by H Beirao Da Veiga and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994-05-31 with categories.

This book provides an introduction for graduate students and advanced undergraduate students to the field of astrophysical fluid dynamics. Although sometimes ignored, fluid dynamical processes play a central role in virtually all areas of astrophysics.No previous knowledge of fluid dynamics is assumed. After establishing the basic equations of fluid dynamics and the physics relevant to an astrophysical application, a variety of topics in the field are addressed. There is also a chapter introducing the reader to numerical methods. Appendices list useful physical constants and astronomical quantities, and provide handy reference material on Cartesian tensors, vector calculus in polar coordinates, self-adjoint eigenvalue problems and JWKB theory./a

Evolution Equations In Thermoelasticity

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Author : Reinhard Racke
language : en
Publisher: CRC Press
Release Date : 2000-06-21

Evolution Equations In Thermoelasticity written by Reinhard Racke and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-06-21 with Mathematics categories.

Although the study of classical thermoelasticity has provided information on linear systems, only recently have results on the asymptotic behavior completed our basic understanding of the generic behavior of solutions. Through systematic work that began in the 80s, we now also understand the basic features of nonlinear systems. Yet some questions r

Selected Papers On Analysis And Differential Equations

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Author : 野水克己
language : en
Publisher: American Mathematical Soc.
Release Date : 2003

Selected Papers On Analysis And Differential Equations written by 野水克己 and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Mathematics categories.

This volume contains translations of papers that originally appeared in the Japanese journal, Sugaku. Ordinarily the papers would appear in the AMS translation of that journal, but to expedite publication, the Society has chosen to publish them as a volume of selected papers. The papers range over a variety of topics, including nonlinear partial differential equations, $C*$-algebras, and Schrodinger operators. The volume is suitable for graduate students and research mathematicians interested in analysis and differential equations.

Lectures On Nonlinear Evolution Equations

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Author : Reinhard Racke
language : en
Publisher:
Release Date : 2015

Lectures On Nonlinear Evolution Equations written by Reinhard Racke and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015 with categories.

This book mainly serves as an elementary, self-contained introduction to several important aspects of the theory of global solutions to initial value problems for nonlinear evolution equations. The book employs the classical method of continuation of local solutions with the help of a priori estimates obtained for small data. The existence and uniqueness of small, smooth solutions that are defined for all values of the time parameter are investigated. Moreover, the asymptotic behavior of the solutions is described as time tends to infinity. The methods for nonlinear wave equations are discussed in detail. Other examples include the equations of elasticity, heat equations, the equations of thermoelasticity, Schrödinger equations, Klein-Gordon equations, Maxwell equations and plate equations. To emphasize the importance of studying the conditions under which small data problems offer global solutions, some blow-up results are briefly described. Moreover, the prospects for corresponding initial-boundary value problems and for open questions are provided. In this second edition, initial-boundary value problems in waveguides are additionally considered.

Qualitative Aspects And Applications Of Nonlinear Evolution Equations Proceedings Of The School

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Author : Tatsien Li
language : en
Publisher: World Scientific
Release Date : 1991-11-29

Qualitative Aspects And Applications Of Nonlinear Evolution Equations Proceedings Of The School written by Tatsien Li and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991-11-29 with categories.