Variational principle for weighted porous media equation

DOI10.1016/j.crma.2013.11.014zbMath1284.35236arXiv1310.3098OpenAlexW2027218933MaRDI QIDQ2438558

Marc Arnaudon, Alexandra Vict. Antoniouk

Publication date: 5 March 2014

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1310.3098

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Degenerate parabolic equations (35K65) Applications of stochastic analysis (to PDEs, etc.) (60H30)

Related Items (1)

Generalized stochastic flows and applications to incompressible viscous fluids

Cites Work

• Lagrangian Navier-Stokes diffusions on manifolds: variational principle and stability
• On the Bakry-Emery criterion for linear diffusions and weighted porous media equations
• Stochastic least-action principle for the incompressible Navier-Stokes equation
• Navier-Stokes equation and diffusions on the group of homeomorphisms of the torus
• \(L^q\)-functional inequalities and weighted porous media equations
• Sur la géométrie différentielle des groupes de Lie de dimension infinite et ses applications à l'hydrodynamique des fluides parfaits
• Groups of diffeomorphisms and the motion of an incompressible fluid
• A stochastic Lagrangian representation of the three‐dimensional incompressible Navier‐Stokes equations

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