Global Weak Solution of Planetary Geostrophic Equations with Inviscid Geostrophic Balance

Abstract

A reformulation of the planetary geostrophic equations (PGEs) with inviscid balance equation is proposed and the existence of global weak solutions is established, provided that the mechanical forcing satisfies an integral constraint. There is only one prognostic equation for the temperature field and the velocity field is statically determined by the planetary geostrophic balance combined with the incompressibility condition. Furthermore, the velocity profile can be accurately represented as a functional of the temperature gradient. In particular, the vertical velocity depends only on the first order derivative of the temperature.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 2006
Accession Number
ADA448159

Entities

People

  • Cheng Wang
  • Jian-guo Liu
  • Roger M Samelson

Organizations

  • Oregon State University

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Atmospheric Sciences
  • Boltzmann Equation
  • Boundaries
  • Boundary Layer
  • Differential Equations
  • Equations
  • Heat Flux
  • Mathematical Analysis
  • Mathematics
  • Numerical Analysis
  • Oceans
  • Pressure Gradients
  • Standards
  • Stratified Fluids
  • Temperature Gradients
  • Theorems
  • Universities

Fields of Study

  • Environmental science

Readers

  • Atmospheric Science/Meteorology
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Fluid Dynamics.