Global solutions of stochastic 2D Navier-Stokes equations with Lévy noise

DOI10.1007/s11425-009-0124-5zbMath1179.35354OpenAlexW2078639282MaRDI QIDQ1042992

Publication date: 7 December 2009

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

Full work available at URL: https://doi.org/10.1007/s11425-009-0124-5

Mathematics Subject Classification ID

Stochastic analysis applied to problems in fluid mechanics (76M35) Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) PDEs with randomness, stochastic partial differential equations (35R60) Statistical solutions of Navier-Stokes and related equations (76D06)

Related Items (31)

STATIONARY WEAK SOLUTIONS FOR STOCHASTIC 3D NAVIER–STOKES EQUATIONS WITH LÉVY NOISE ⋮ Well-posedness of stochastic 2D hydrodynamics type systems with multiplicative Lévy noises ⋮ Strong solutions for a stochastic model of two-dimensional second grade fluids driven by Lévy noise ⋮ Large deviation principles for a 2D stochastic Cahn–Hilliard–Navier–Stokes driven by jump noise ⋮ Poincaré inequality for linear SPDE driven by Lévy noise ⋮ Stochastic reaction-diffusion equations driven by jump processes ⋮ Well-posedness and asymptotic behavior of stochastic convective Brinkman-Forchheimer equations perturbed by pure jump noise ⋮ Ergodicity of stochastic Boussinesq equations driven by Lévy processes ⋮ Large deviation principles for a 2D stochastic Allen–Cahn–Navier–Stokes driven by jump noise ⋮ Well-posedness for the stochastic 2D primitive equations with Lévy noise ⋮ The Stampacchia maximum principle for stochastic partial differential equations forced by Lévy noise ⋮ Stochastic hydrodynamic-type evolution equations driven by Lévy noise in 3D unbounded domains -- abstract framework and applications ⋮ Fokker-Planck equations and maximal dissipativity for Kolmogorov operators for SPDE driven by Lévy noise ⋮ Shell model of turbulence perturbed by Lévy noise ⋮ On limiting behavior of stationary measures for stochastic evolution systems with small noise intensity ⋮ Well-posedness and invariant measures for 2D stochastic Oldroyd model of order one with pure jumps ⋮ Poisson stable solutions for stochastic PDEs driven by Lévy noise ⋮ Well-posedness and large deviations for 2D stochastic Navier-Stokes equations with jumps ⋮ Stochastic Navier-Stokes equations driven by Lévy noise in unbounded 3D domains ⋮ The existence and asymptotic behaviour of energy solutions to stochastic 2D functional Navier-Stokes equations driven by Lévy processes ⋮ Ergodicity of the stochastic real Ginzburg-Landau equation driven by \(\alpha\)-stable noises ⋮ A stochastic generalized Ginzburg-Landau equation driven by jump noise ⋮ Ergodicity of Stochastic Dissipative Equations Driven by α-Stable Process ⋮ Ergodicity of stochastic 2D Navier-Stokes equation with Lévy noise ⋮ \(\mathbb{L}^p\)-solutions for stochastic Navier-Stokes equations with jump noise ⋮ Strong solutions for SPDE with locally monotone coefficients driven by Lévy noise ⋮ Weak solution of a stochastic 3D Cahn-Hilliard-Navier-Stokes model driven by jump noise ⋮ Deterministic and stochastic equations of motion arising in Oldroyd fluids of order one: existence, uniqueness, exponential stability and invariant measures ⋮ Well-posedness of the stochastic Boussinesq equation driven by Levy processes ⋮ On the existence and uniqueness of solution to a stochastic simplified liquid crystal model ⋮ Kolmogorov operator and Fokker-Planck equation associated to a stochastic Burgers equation driven by Lévy noise

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