Sub-critical and critical stochastic quasi-geostrophic equations with infinite delay

DOI10.3934/dcdsb.2020309zbMath1471.35274OpenAlexW3093827668MaRDI QIDQ2033951

Tongtong Liang, Yejuan Wang

Publication date: 18 June 2021

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2020309

zbMATH Keywords

infinite delayfractional Laplacianmartingale solutionstochastic quasi-geostrophic equationpathwise solution

Mathematics Subject Classification ID

Hydrology, hydrography, oceanography (86A05) White noise theory (60H40) Meteorology and atmospheric physics (86A10) 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) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03) Fractional partial differential equations (35R11) PDEs in connection with geophysics (35Q86) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) PDEs on time scales (35R07)

Related Items (3)

The stability with the general decay rate of the solution for stochastic functional Navier-Stokes equations ⋮ \(\alpha\)-Whittaker controllability of \(\vartheta\)-Hilfer fractional stochastic evolution equations driven by fractional Brownian motion ⋮ Existence uniqueness of mild solutions for \(\psi \)-Caputo fractional stochastic evolution equations driven by fBm

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