A geostrophic model with vertical diffusion

DOI10.1016/S0362-546X(99)00206-0zbMath0972.35097OpenAlexW2064581540MaRDI QIDQ5925833

Bresch, Didier, Simon, Jacques, Lemoine, Jérôme

Publication date: 13 November 2001

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0362-546x(99)00206-0

zbMATH Keywords

Coriolis forceNavier-Stokes equationsstrong convergence of the asymptotic solutionthin domains

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Hydrology, hydrography, oceanography (86A05)

Cites Work

• \(L^ r\) regularity for the Stokes and Navier-Stokes problems
• The transition between the Stokes equations and the Reynolds equation: A mathematical proof
• Rotating fluid at high Rossby number driven by a surface stress: existence and convergence
• Navier-Stokes equations in three-dimensional thin domains with various boundary conditions
• On the equations of the large-scale ocean
• A Vertical Diffusion Model for Lakes
• Navier-Stokes Equations on Thin 3D Domains. I: Global Attractors and Global Regularity of Solutions
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