The Martingale Problem for Markov Solutions to the Navier-Stokes Equations

DOI10.1007/978-3-0348-0021-1_15zbMath1391.76111arXiv0902.1402OpenAlexW2107313118MaRDI QIDQ2904880

Marco Romito

Publication date: 24 August 2012

Published in: Seminar on Stochastic Analysis, Random Fields and Applications VI (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0902.1402

zbMATH Keywords

well-posednessinvariant measuresstochastic Navier-Stokes equationsMarkov propertymartingale problemstrong Feller propertyMarkov solutions

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Stochastic analysis applied to problems in fluid mechanics (76M35) Applications of stochastic analysis (to PDEs, etc.) (60H30) Navier-Stokes equations (35Q30) Stochastic partial differential equations (aspects of stochastic analysis) (60H15)

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Stochastic PDEs and lack of regularity: a surface growth equation with noise: existence, uniqueness, and blow-up ⋮ Existence of densities for the 3D Navier-Stokes equations driven by Gaussian noise ⋮ Uniqueness and blow-up for a stochastic viscous dyadic model ⋮ Ergodicity of the 3D stochastic Navier-Stokes equations driven by mildly degenerate noise

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