Well-posedness and large deviations for 2D stochastic Navier-Stokes equations with jumps

DOI10.4171/jems/1214zbMath1519.35220arXiv1908.06228MaRDI QIDQ6172696

Zdzisław Brzeźniak, Xu-hui Peng, Jianliang Zhai

Publication date: 20 July 2023

Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1908.06228

zbMATH Keywords

large deviationsstochastic Navier-Stokes equationsmultiplicative Lévy noise

Mathematics Subject Classification ID

Stochastic analysis applied to problems in fluid mechanics (76M35) Navier-Stokes equations (35Q30) A priori estimates in context of PDEs (35B45) Large deviations (60F10) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Existence problems for PDEs: global existence, local existence, non-existence (35A01) PDEs with randomness, stochastic partial differential equations (35R60) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Strong solutions to PDEs (35D35) PDEs with measure (35R06)

Related Items (6)

The stochastic Strichartz estimates and stochastic nonlinear Schrödinger equations driven by Lévy noise ⋮ Large and moderate deviation principles for McKean-Vlasov SDEs with jumps ⋮ Stochastic 3D globally modified Navier-Stokes equations: weak attractors, invariant measures and large deviations ⋮ Central limit type theorem and large deviation principle for multi-scale McKean-Vlasov SDEs ⋮ Large Deviations for Stochastic Generalized Porous Media Equations Driven by Lévy Noise ⋮ Well-posedness and large deviations for 2D stochastic constrained Navier-Stokes equations driven by Lévy noise in the Marcus canonical form

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