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Self Dual Partial Differential Systems by Nassif Ghoussoub (51 results)
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Condition: New. pp. 372.
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Add to basketCondition: New. pp. 372 52:B&W 6.14 x 9.21in or 234 x 156mm (Royal 8vo) Case Laminate on White w/Gloss Lam.
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Self-dual Partial Differential Systems and Their Variational Principles (Hardcover)
Published by Springer-Verlag New York Inc., New York, NY, 2008
ISBN 10: 0387848967 ISBN 13: 9780387848969
Language: English
Hardcover. Condition: new. Hardcover. How to solve partial differential systems by completing the square. This could well have been the title of this monograph as it grew into a project to develop a s- tematic approach for associating suitable nonnegative energy functionals to a large class of partial differential equations (PDEs) and evolutionary systems. The minima of these functionals are to be the solutions we seek, not because they are critical points (i. e. , from the corresponding Euler-Lagrange equations) but from also - ing zeros of these functionals. The approach can be traced back to Bogomolnyi's trick of "completing squares" in the basic equations of quantum eld theory (e. g. , Yang-Mills, Seiberg-Witten, Ginzburg-Landau, etc. ,), which allows for the deri- tion of the so-called self (or antiself) dual version of these equations. In reality, the "self-dual Lagrangians" we consider here were inspired by a variational - proach proposed - over 30 years ago - by Brezis ' and Ekeland for the heat equation and other gradient ows of convex energies. It is based on Fenchel-Legendre - ality and can be used on any convex functional - not just quadratic ones - making them applicable in a wide range of problems.In retrospect, we realized that the "- ergy identities" satis ed by Leray's solutions for the Navier-Stokes equations are also another manifestation of the concept of self-duality in the context of evolution equations. This text is intended for a beginning graduate course on convexity methods for PDEs. The generality chosen by the author puts this under the classification of "functional analysis". The book contains new results and plenty of examples and exercises. Shipping may be from multiple locations in the US or from the UK, depending on stock availability.
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Self-dual Partial Differential Systems and Their Variational Principles (Paperback)
Published by Springer-Verlag New York Inc., New York, NY, 2010
ISBN 10: 1441927441 ISBN 13: 9781441927446
Language: English
First Edition
Paperback. Condition: new. Paperback. How to solve partial differential systems by completing the square. This could well have been the title of this monograph as it grew into a project to develop a s- tematic approach for associating suitable nonnegative energy functionals to a large class of partial differential equations (PDEs) and evolutionary systems. The minima of these functionals are to be the solutions we seek, not because they are critical points (i. e. , from the corresponding Euler-Lagrange equations) but from also - ing zeros of these functionals. The approach can be traced back to Bogomolnyi's trick of "completing squares" in the basic equations of quantum eld theory (e. g. , Yang-Mills, Seiberg-Witten, Ginzburg-Landau, etc. ,), which allows for the deri- tion of the so-called self (or antiself) dual version of these equations. In reality, the "self-dual Lagrangians" we consider here were inspired by a variational - proach proposed - over 30 years ago - by Brezis ' and Ekeland for the heat equation and other gradient ows of convex energies. It is based on Fenchel-Legendre - ality and can be used on any convex functional - not just quadratic ones - making them applicable in a wide range of problems.In retrospect, we realized that the "- ergy identities" satis ed by Leray's solutions for the Navier-Stokes equations are also another manifestation of the concept of self-duality in the context of evolution equations. This text is intended for a beginning graduate course on convexity methods for PDEs. The generality chosen by the author puts this under the classification of "functional analysis". The book contains new results and plenty of examples and exercises. Shipping may be from multiple locations in the US or from the UK, depending on stock availability.
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Self Dual Partial Differential Systems And Their Variational Principles Springer Monographs In Mathematics
Published by Springer, 2009
Language: English
US$ 52.90
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Add to basketHardcover. Condition: New. ISBN:9780387848969.
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Self-dual Partial Differential Systems and Their Variational Principles
Published by Springer Verlag GmbH, 2008
ISBN 10: 0387848967 ISBN 13: 9780387848969
Language: English
Seller: Libro Co. Italia Srl, San Casciano Val di Pesa, FI, Italy
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US$ 56.05
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Add to basketRilegato in Tela. Condition: fine. Heidelberg, 2008; clothbound, pp. 354, cm 16x23. Libro.
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Self-dual Partial Differential Systems and Their Variational Principles (Springer Monographs in Mathematics)
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Self-dual Partial Differential Systems and Their Variational Principles (Springer Monographs in Mathematics)
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Self-dual Partial Differential Systems and Their Variational Principles
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