Self-dual partial differential systems and their variational principles
Based on recent research by the author and his graduate students, this text describes novel variational formulations and resolutions of a large class of partial differential equations and evolutions, many of which are not amenable to the methods of the classical calculus of variations. While it cont...
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| Autor principal: | |
|---|---|
| Formato: | Livre numérique |
| Idioma: | Anglais |
| Publicado em: |
New York, NY :
Springer New York
[20..].
Cham : Springer Nature |
| Edição: | 1st ed. 2009. |
| Colecção: | Springer Monographs in Mathematics
|
| Assuntos: | |
| Acesso em linha: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Nota: |
Description d'après consultation du 20 octobre 2011 Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Self-dual partial differential systems and their variational principles, Nassif Ghoussoub, [New York], Springer, 2009, 1 vol. (XIV-354 p.), Springer monographs in mathematics, 978-0-387-84896-9 |
Sumário:
- Convex Analysis on Phase Space Legendre-Fenchel Duality on Phase Space Self-dual Lagrangians on Phase Space Skew-Adjoint Operators and Self-dual Lagrangians Self-dual Vector Fields and Their Calculus Completely Self-Dual Systems and their Lagrangians Variational Principles for Completely Self-dual Functionals Semigroups of Contractions Associated to Self-dual Lagrangians Iteration of Self-dual Lagrangians and Multiparameter Evolutions Direct Sum of Completely Self-dual Functionals Semilinear Evolution Equations with Self-dual Boundary Conditions Self-Dual Systems and their Antisymmetric Hamiltonians The Class of Antisymmetric Hamiltonians Variational Principles for Self-dual Functionals and First Applications The Role of the Co-Hamiltonian in Self-dual Variational Problems Direct Sum of Self-dual Functionals and Hamiltonian Systems Superposition of Interacting Self-dual Functionals Perturbations of Self-Dual Systems Hamiltonian Systems of Partial Differential Equations The Self-dual Palais-Smale Condition for Noncoercive Functionals Navier-Stokes and other Self-dual Nonlinear Evolutions