STOCHASTIC SOLUTIONS OF THE TWO-DIMENSIONAL PRIMITIVE EQUATIONS OF THE OCEAN AND ATMOSPHERE WITH AN ADDITIVE NOISE

DOI10.1142/S0219530507000948zbMath1126.35040OpenAlexW2003852042MaRDI QIDQ3434315

B. D. Ewald, Madalina Petcu, Roger M. Temam

Publication date: 25 April 2007

Published in: Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219530507000948

zbMATH Keywords

weak solutionexistenceNavier-Stokes equationsuniquenessstrong solutionwhite noise

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Hydrology, hydrography, oceanography (86A05) Stochastic analysis applied to problems in fluid mechanics (76M35) Navier-Stokes equations (35Q30) Stochastic partial differential equations (aspects of stochastic analysis) (60H15)

Related Items (17)

Time discrete approximation of weak solutions to stochastic equations of geophysical fluid dynamics and applications ⋮ The exponential behavior and stability of the stochastic three-dimensional primitive equations driven by Lévy noise ⋮ Path-Based Divergence Rates and Lagrangian Uncertainty in Stochastic Flows ⋮ RANDOM ATTRACTOR FOR THE 3D VISCOUS STOCHASTIC PRIMITIVE EQUATIONS WITH ADDITIVE NOISE ⋮ Martingale Solutions of the Stochastic 2D Primitive Equations with Anisotropic Viscosity ⋮ Well-posedness for the stochastic 2D primitive equations with Lévy noise ⋮ Ergodicity of two-dimensional primitive equations of large scale ocean in geophysics driven by degenerate noise ⋮ Random attractor for the 3D viscous primitive equations driven by fractional noises ⋮ On unique ergodicity in nonlinear stochastic partial differential equations ⋮ Existence and Regularity of Invariant Measures for the Three Dimensional Stochastic Primitive Equations ⋮ Pathwise solutions of the 2-D stochastic primitive equations ⋮ Parameter estimation for the stochastically perturbed Navier-Stokes equations ⋮ Local martingale and pathwise solutions for an abstract fluids model ⋮ Well-posedness of stochastic primitive equations with multiplicative noise in three dimensions ⋮ Cauchy convergence schemes for some nonlinear partial differential equations ⋮ ON THE EQUATION OF BARENBLATT–SOBOLEV ⋮ Global well-posedness of stochastic 2D primitive equations with random initial conditions

Cites Work

• 2-D Euler equation perturbed by noise
• Existence of a solution `in the large' for the 3D large-scale ocean dynamics equations
• Equations stochastiques du type Navier-Stokes
• New formulations of the primitive equations of atmosphere and applications
• On the equations of the large-scale ocean
• Ergodicity for Infinite Dimensional Systems

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