Generalized stochastic Lagrangian paths for the Navier-Stokes equation

DOI10.2422/2036-2145.201602_006zbMath1397.49061arXiv1509.03491OpenAlexW2963910674MaRDI QIDQ4579908

Shizan Fang, Marc Arnaudon, Ana Bela Cruzeiro

Publication date: 10 August 2018

Published in: ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1509.03491

zbMATH Keywords

Navier-Stokes equationcritical pathskinetic energy functionalmanifold-valued semimartingalesmodified de Rham-Hodge Laplacianstochastic Lagrangian paths

Mathematics Subject Classification ID

Variational problems in a geometric measure-theoretic setting (49Q20) Navier-Stokes equations (35Q30) Diffusion processes and stochastic analysis on manifolds (58J65)

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Brenier–Schrödinger problem on compact manifolds with boundary ⋮ Average preserving variation processes in view of optimization ⋮ Stochastic Lagrangian perturbation of Lie transport and applications to fluids ⋮ Incompressible Euler equations with stochastic forcing: a geometric approach ⋮ Nash embedding, shape operator and Navier-Stokes equation on a Riemannian manifold ⋮ Constantin and Iyer's representation formula for the Navier-Stokes equations on manifolds ⋮ A Benamou-Brenier formulation of martingale optimal transport

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