Energy decay of solutions to the Boussinesq, primitive, and planetary geostrophic equations

DOI10.1006/jmaa.1999.6354zbMath0938.35145OpenAlexW2007906347WikidataQ57918162 ScholiaQ57918162MaRDI QIDQ1301870

Geoffrey K. Vallis, Maria Elena Schonbek

Publication date: 2 November 1999

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

Full work available at URL: https://semanticscholar.org/paper/245a44f27132e41902f931b9284625a60eb0337a

zbMATH Keywords

Boussinesq equationsplanetary geostrophic equationsFourier splitting methodprimitive equationsalgebraic rate of decaylong-time behaviour of energynon-zero damping constantsocsillating behaviour

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Hydrology, hydrography, oceanography (86A05) General theory of rotating fluids (76U05) Meteorology and atmospheric physics (86A10)

Related Items (3)

Continuous data assimilation for the 3D primitive equations of the ocean ⋮ Derivation of the planetary geostrophic equations ⋮ Local Decay of Acoustic Waves in the Low Mach Number Limits on General Unbounded Domains Under Slip Boundary Conditions

Cites Work

• \(L^ 2\) decay for weak solutions of the Navier-Stokes equations
• Decay Results for Weak Solutions of the Navier-Stokes Equations on Rⁿ
• Decay of solution to parabolic conservation laws
• Partial regularity of suitable weak solutions of the navier-stokes equations
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