Self-dual Partial Differential Systems and Their Variational Principles

Self-dual Partial Differential Systems and Their Variational Principles

Nassif Ghoussoub

72,06 €
IVA incluido
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Editorial:
Springer Nature B.V.
Año de edición:
2010
ISBN:
9781441927446
72,06 €
IVA incluido
Disponible

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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.

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Otros libros del autor

  • Self-dual Partial Differential Systems and Their Variational Principles
    Nassif Ghoussoub
    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 ...