Anti-symmetric Hamiltonians. II: Variational resolutions for Navier-Stokes and other nonlinear evolutions

DOI10.1016/j.anihpc.2007.11.002zbMath1175.35101arXivmath/0702339OpenAlexW2047832735MaRDI QIDQ1001985

Abbas Moameni, Nassif Ghoussoub

Publication date: 20 February 2009

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0702339

zbMATH Keywords

anti-selfdual Lagrangiansnon-linear evaluation equationsselfdual variational principles

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Navier-Stokes equations (35Q30) Variational principles of physics (49S05)

Related Items (9)

Hamiltonian systems of PDEs with selfdual boundary conditions ⋮ A NEW VARIATIONAL FORMULATION FOR CONVEX HAMILTONIAN SYSTEMS WITH NONLINEAR BOUNDARY CONDITIONS ⋮ Variational principles for nonlinear PDE systems via duality ⋮ Variational resolution for some general classes of nonlinear evolutions. II ⋮ A self-dual variational approach to stochastic partial differential equations ⋮ A selfdual variational principle with minimal hypothesis and applications to stationary, dynamic and stochastic equations ⋮ A variational approach to Navier–Stokes ⋮ Non-convex self-dual Lagrangians: new variational principles of symmetric boundary value problems ⋮ Metric selfduality and monotone vector fields on manifolds

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Anti-self-dual Lagrangians: variational resolutions of non-self-adjoint equations and dissipative evolutions
• Weak solutions of Navier-Stokes equations
• Infinite-dimensional dynamical systems in mechanics and physics.
• Antisymmetric Hamiltonians: Variational resolutions for Navier-Stokes and other nonlinear evolutions

This page was built for publication: Anti-symmetric Hamiltonians. II: Variational resolutions for Navier-Stokes and other nonlinear evolutions