Well-posedness for stochastic fractional Navier-Stokes equation in the critical Fourier-Besov space

DOI10.1007/s10959-021-01152-yzbMath1502.35089OpenAlexW4207053662MaRDI QIDQ2100024

Guang Jun Shen, Xiuwei Yin, Jiang-Lun Wu

Publication date: 21 November 2022

Published in: Journal of Theoretical Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10959-021-01152-y

zbMATH Keywords

strong solutionsstochastic fractional Navier-Stokes equationFourier-Besov spaces

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) PDEs with randomness, stochastic partial differential equations (35R60) Fractional partial differential equations (35R11) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Strong solutions to PDEs (35D35) Harmonic analysis and PDEs (42B37)

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