Stochastic 3D Leray-\(\alpha\) model with fractional dissipation

DOI10.1007/s11425-021-2039-8zbMath1527.35212arXiv1805.11939OpenAlexW4386001801MaRDI QIDQ6084693

Yingchao Xie, Wei Liu, Shihu Li

Publication date: 6 November 2023

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1805.11939

zbMATH Keywords

well-posednessfractional Laplacianstochastic Navier-Stokes equationstochastic Leray-\(\alpha\) model

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Fractional derivatives and integrals (26A33) Navier-Stokes equations (35Q30) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) PDEs with randomness, stochastic partial differential equations (35R60) Weak solutions to PDEs (35D30) Fractional partial differential equations (35R11) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

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