The exponential behavior of the stochastic three-dimensional primitive equations with multiplicative noise

DOI10.1016/j.nonrwa.2010.08.007zbMath1216.35187OpenAlexW2026882102MaRDI QIDQ619705

Theodore Tachim-Medjo

Publication date: 18 January 2011

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2010.08.007

zbMATH Keywords

weak solutionstabilizationmultiplicative noiseexponential behaviorstochastic primitive equation

Mathematics Subject Classification ID

Hydrology, hydrography, oceanography (86A05) Stability in context of PDEs (35B35) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60) Weak solutions to PDEs (35D30)

Related Items (7)

The exponential behavior and stability of the stochastic three-dimensional primitive equations driven by Lévy noise ⋮ The exponential behavior and stabilizability of quasilinear parabolic stochastic partial differential equation ⋮ On the existence and long-time behavior of solutions to stochastic three-dimensional Navier–Stokes–Voigt equations ⋮ On almost periodic mild solutions for stochastic functional differential equations ⋮ The exponential behavior and stabilizability of the stochastic 3D Navier–Stokes equations with damping ⋮ Global well-posedness of the three-dimensional viscous primitive equations with bounded delays ⋮ Strong solutions for the stochastic 3D LANS-α model driven by non-Gaussian Lévy noise

Cites Work

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• The global attractor for the solutions to the 3D viscous primitive equations
• On the existence and uniqueness of solutions to stochastic three-dimensional Lagrangian averaged Navier–Stokes equations
• A Small Eddy Correction Method for a 3D Navier–Stokes-Type System of Equations Related to the Primitive Equations of the Ocean
• On the equations of the large-scale ocean
• Global well‐posedness and finite‐dimensional global attractor for a 3‐D planetary geostrophic viscous model
• Navier-Stokes Equations on Thin 3D Domains. I: Global Attractors and Global Regularity of Solutions
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