The 3D quasigeostrophic fluid dynamics under random forcing on boundary

DOI10.4310/CMS.2003.v1.n1.a9zbMath1153.86302arXivmath/0101001OpenAlexW2091314722MaRDI QIDQ815104

Björn Schmalfuss, Jin-qiao Duan

Publication date: 8 February 2006

Published in: Communications in Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0101001

zbMATH Keywords

existenceuniquenesswell-posednessOrnstein-Uhlenbeck processrandom attractorsquasigeostrophic equationair-sea interfaceBaroclinic quasigeostrophic flowrandom wind forcingtime-periodic fluctuations

Mathematics Subject Classification ID

Attractors (35B41) PDEs in connection with fluid mechanics (35Q35) Hydrology, hydrography, oceanography (86A05) General theory of rotating fluids (76U05) Random operators and equations (aspects of stochastic analysis) (60H25) Stratification effects in inviscid fluids (76B70) Stability of manifolds of solutions to ordinary differential equations (34D35)

Related Items

Asymptotic behavior of non-autonomous fractional stochastic reaction-diffusion equations ⋮ Dynamics of the non-autonomous stochastic \(p\)-Laplace equation driven by multiplicative noise ⋮ Asymptotic behavior of random Navier-Stokes equations driven by Wong-Zakai approximations ⋮ 3D stochastic primitive equations of the large-scale ocean: Global well-posedness and attractors ⋮ Dynamics of fractional nonclassical diffusion equations with delay driven by additive noise on \(\mathbb{R}^n\) ⋮ Existence and upper semicontinuity of attractors for stochastic equations with deterministic non-autonomous terms ⋮ Existence and upper semicontinuity of random attractors for non-autonomous stochastic strongly damped sine-Gordon equation on unbounded domains ⋮ Asymptotic behavior of random FitzHugh-Nagumo systems driven by colored noise ⋮ Random attractors for non-autonomous stochastic wave equations with multiplicative noise ⋮ Long time behavior of stochastic parabolic problems with white noise in materials with thermal memory ⋮ Long term behavior of random Navier-Stokes equations driven by colored noise ⋮ Sufficient and necessary criteria for existence of pullback attractors for non-compact random dynamical systems ⋮ RANDOM ATTRACTOR FOR NON-AUTONOMOUS STOCHASTIC STRONGLY DAMPED WAVE EQUATION ON UNBOUNDED DOMAINS ⋮ Regularity of random attractors for fractional stochastic reaction-diffusion equations on \(\mathbb{R}^n\) ⋮ Existence, stability and bifurcation of random complete and periodic solutions of stochastic parabolic equations ⋮ Weak pullback attractors for stochastic Navier-Stokes equations with nonlinear diffusion terms ⋮ Stochastic climate dynamics: random attractors and time-dependent invariant measures ⋮ Uniform random attractors for 2D non-autonomous stochastic Navier-Stokes equations ⋮ Regular random attractors for non-autonomous stochastic evolution equations with time-varying delays on thin domains ⋮ Pullback attractors of non-autonomous stochastic degenerate parabolic equations on unbounded domains ⋮ Asymptotic behavior of the stochastic Keller-Segel equations ⋮ Compactness and attracting of random attractors for non-autonomous stochastic lattice dynamical systems in weighted space \(\ell_\rho^p\) ⋮ Long-time dynamics of fractional nonclassical diffusion equations with nonlinear colored noise and delay on unbounded domains ⋮ Tempered random attractors for parabolic equations in weighted spaces ⋮ Multivalued non-autonomous random dynamical systems for wave equations without uniqueness ⋮ Asymptotic behavior of stochastic complex Ginzburg-Landau equations with deterministic non-autonomous forcing on thin domains ⋮ Random attractors for non-autonomous fractional stochastic parabolic equations on unbounded domains ⋮ Stochastic bifurcation of pathwise random almost periodic and almost automorphic solutions for random dynamical systems ⋮ Amplitude equation for the stochastic reaction-diffusion equations with random Neumann boundary conditions ⋮ Weak pullback mean random attractors for non-autonomous \(p\)-Laplacian equations ⋮ Upper semi-continuity of attractors for non-autonomous fractional stochastic parabolic equations with delay ⋮ Limiting behavior of non-autonomous stochastic reaction-diffusion equations on thin domains ⋮ Random dynamics for non-autonomous stochastic evolution equations without uniqueness on unbounded narrow domains ⋮ Attractors with higher-order regularity of stochastic reaction–diffusion equations on time-varying domains ⋮ Limiting dynamical behavior of random fractional Fitzhugh-Nagumo systems driven by a Wong-Zakai approximation process ⋮ Random dynamics of fractional stochastic reaction-diffusion equations on Rn without uniqueness ⋮ Exponential stability of the multi-layer quasi-geostrophic ocean model with delays ⋮ Dynamics of stochastic reaction-diffusion lattice systems driven by nonlinear noise ⋮ Random attractors of FitzHugh–Nagumo systems driven by colored noise on unbounded domains ⋮ Dynamics and invariant measures of multi-stochastic sine-Gordon lattices with random viscosity and nonlinear noise ⋮ Regularity of random attractors for non-autonomous stochastic discrete complex Ginzburg-Landau equations ⋮ Dynamics of fractional stochastic reaction-diffusion equations on unbounded domains driven by nonlinear noise ⋮ Stochastic dynamics of non-autonomous fractional Ginzburg-Landau equations on \(\mathbb{R}^3 \) ⋮ Asymptotically autonomous dynamics for non-autonomous stochastic \(g\)-Navier-Stokes equation with additive noise ⋮ Large deviations for the stochastic quasigeostrophic equation with multiplicative noise ⋮ Weak pullback attractors for mean random dynamical systems in Bochner spaces ⋮ Dynamics of a coupled atmosphere-ocean model ⋮ Random Attractors for Delay Parabolic Equations with Additive Noise and Deterministic Nonautonomous Forcing ⋮ Diffusion limit of 3D primitive equations of the large-scale ocean under fast oscillating random force ⋮ Second order PDEs with Dirichlet white noise boundary conditions ⋮ Attractors of non-autonomous stochastic lattice systems in weighted spaces