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Remarks On The Formation Of Singularities For Nonlinear Wave Equations In Bounded Domains

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Remarks On The Formation Of Singularities For Nonlinear Wave Equations In Bounded Domains

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Author : Reinhard Racke
language : de
Publisher:
Release Date : 1991

Remarks On The Formation Of Singularities For Nonlinear Wave Equations In Bounded Domains 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 1991 with categories.

Remarks On The Formation Of Singularities For Nonlinear Wave Equations In Bounded Domains

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Author : R. Racke
language : en
Publisher:
Release Date : 1991

Remarks On The Formation Of Singularities For Nonlinear Wave Equations In Bounded Domains written by R. Racke and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 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.

Proceedings Of The International Symposium On Computational Mathematics Iscm 90

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Author :
language : en
Publisher:
Release Date : 1991

Proceedings Of The International Symposium On Computational Mathematics Iscm 90 written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with Numerical analysis categories.

Collected Papers

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Author : Fritz John
language : en
Publisher:
Release Date : 1985

Collected Papers written by Fritz John and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985 with Mathematics categories.

Nonlinear Wave Equations

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Author : Satyanad Kichenassamy
language : en
Publisher: CRC Press
Release Date : 2021-05-30

Nonlinear Wave Equations written by Satyanad Kichenassamy and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-05-30 with Mathematics categories.

This work examines the mathematical aspects of nonlinear wave propagation, emphasizing nonlinear hyperbolic problems. It introduces the tools that are most effective for exploring the problems of local and global existence, singularity formation, and large-time behaviour of solutions, and for the study of perturbation methods.

Hyperbolic Conservation Laws In Continuum Physics

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Author : Constantine M. Dafermos
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-12-12

Hyperbolic Conservation Laws In Continuum Physics written by Constantine M. Dafermos 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 2009-12-12 with Mathematics categories.

The aim of this work is to present a broad overview of the theory of hyperbolic c- servation laws, with emphasis on its genetic relation to classical continuum physics. It was originally published a decade ago, and a second, revised edition appeared in 2005. It is a testament to the vitality of the ?eld that in order to keep up with - cent developments it has become necessary to prepare a substantially expanded and updated new edition. A new chapter has been added, recounting the exciting recent developmentsin classical open problems in compressible ?uid ?ow. Still another - dition is an account of the early history of the subject, which had an interesting, - multuous childhood. Furthermore, a substantial portion of the original text has been reorganized so as to streamline the exposition, update the information, and enrich the collection of examples. In particular, Chapter V has been completely revised. The bibliography has been updated and expanded as well, now comprising over - teenhundred titles. The background, scope, and plan of the book are outlined in the Introduction, following this preface. Geometric measure theory, functional analysis and dynamical systems provide the necessary tools in the theory of hyperbolic conservation laws, but to a great - tent the analysis employscustom-madetechniques,with strong geometric?avor, - derscoring wave propagation and wave interactions. This may leave the impression that the area is insular, detached from the mainland of partial differential equations.