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Self-Dual Partial Differential Systems and Their Variational Principles
Nassif Ghoussoub
€ 65.80
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Description for Self-Dual Partial Differential Systems and Their Variational Principles
Paperback. 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. Series: Springer Monographs in Mathematics. Num Pages: 368 pages, biography. BIC Classification: PBKF; PBKJ. Category: (P) Professional & Vocational. Dimension: 234 x 156 x 19. Weight in Grams: 563.
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 ... Read more
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 ... Read more
Product Details
Format
Paperback
Publication date
2010
Publisher
Springer-Verlag New York Inc. United States
Number of pages
368
Condition
New
Series
Springer Monographs in Mathematics
Number of Pages
354
Place of Publication
New York, NY, United States
ISBN
9781441927446
SKU
V9781441927446
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
Reviews for Self-Dual Partial Differential Systems and Their Variational Principles
“The subject of this monograph is related to the relationship between large classes of partial differential equations or evolutionary systems and energy functionals associated with them. Examples include transport equations, porous media equations, and Navier-Stokes evolution equations. … This well-written book contains a large amount of material. It can be useful for graduate students and researchers interested in modern aspects ... Read more