Infinite-Dimensional Dynamical Systems in Atmospheric and Oceanic Science

DOI10.1142/9106zbMath1303.86002OpenAlexW649383074MaRDI QIDQ5170267

Daiwen Huang, Bo-ling Guo

Publication date: 23 July 2014

Full work available at URL: https://semanticscholar.org/paper/e78021f88c4fbc92b7411741bd8cb0b39f6ed2a0

zbMATH Keywords

Coriolis forceBoussinesq approximationRossby wavesrandom dynamical systemsnormal mode approachvariational methodRayleigh-Bénard convectionglobal attractorshydrodynamicsinfinite-dimensional dynamical systemsinternal gravity wavesgeophysical fluid dynamicsbarotropic modelatmospheric modelsenergy principlerandom forcesquasi-geostrophic modelwave stabilityocean modelsatmospheric pressure coordinate systemboundary conditions of oceansboundary conditions of the atmospherecirculation and climate modelsdry atmospheric equationsmoist atmospheric equationspartial nonlinear differential equationsprimitive equations of geofluid dynamicsstrong solutions of hydrodynamic equationstopographic coordinate systemweak solutions of hydrodynamic equations

Mathematics Subject Classification ID

Hydrology, hydrography, oceanography (86A05) Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Mathematics for nonmathematicians (engineering, social sciences, etc.) (00A06) Research exposition (monographs, survey articles) pertaining to geophysics (86-02)

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Global existence and asymptotic stability of the free boundary problem of the primitive equations with heat insulation ⋮ Blow-up criterion of solutions of the horizontal viscous primitive equations with horizontal eddy diffusivity

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