Description

Book Synopsis
Aims to introduce mathematicians to the important area of atmosphere/ocean science (AOS) and, conversely, to develop a mathematical viewpoint on basic topics in AOS of interest to the disciplinary AOS community, ranging from graduate students to researchers.

Table of Contents
Introduction Some remarkable features of stratified flow Linear and nonlinear instability of stratified flows with strong stratification Rotating shallow water theory Linear and weakly nonlinear theory of dispersive waves with geophysical examples Simplified equations for the dynamics of strongly stratified flow The stratified quasi-geostrophic equations as a singular limit of the rotating Boussinesq equations Introduction to averaging over fast waves for geophysical flows Waves and PDEs for the equatorial atmosphere and ocean Bibliography.

Introduction to PDEs and Waves for the Atmosphere

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    A Paperback by American Mathem American Mathem

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      View other formats and editions of Introduction to PDEs and Waves for the Atmosphere by American Mathem American Mathem

      Publisher: MP-AMM American Mathematical
      Publication Date: 1/30/2003 12:00:00 AM
      ISBN13: 9780821829547, 978-0821829547
      ISBN10: 0821829548

      Description

      Book Synopsis
      Aims to introduce mathematicians to the important area of atmosphere/ocean science (AOS) and, conversely, to develop a mathematical viewpoint on basic topics in AOS of interest to the disciplinary AOS community, ranging from graduate students to researchers.

      Table of Contents
      Introduction Some remarkable features of stratified flow Linear and nonlinear instability of stratified flows with strong stratification Rotating shallow water theory Linear and weakly nonlinear theory of dispersive waves with geophysical examples Simplified equations for the dynamics of strongly stratified flow The stratified quasi-geostrophic equations as a singular limit of the rotating Boussinesq equations Introduction to averaging over fast waves for geophysical flows Waves and PDEs for the equatorial atmosphere and ocean Bibliography.

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