Mathematical Study of Degenerate Boundary Layers a Large Scale Ocean Circulation Problem 1st Edition by Anne Laure Dalibard, Laure Saint Raymond ISBN 9781470444075 1470444070

Mathematical Study of Degenerate Boundary Layers a Large Scale Ocean Circulation Problem 1st Edition by Anne Laure Dalibard, Laure Saint Raymond – Ebook PDF Instant Download/Delivery: 9781470444075 ,1470444070
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Product details:

ISBN 10: 1470444070
ISBN 13: 9781470444075
Author: Anne Laure Dalibard, Laure Saint Raymond

Mathematical Study of Degenerate Boundary Layers a Large Scale Ocean Circulation Problem 1st Edition Table of contents:

1. Introduction

   • Overview of the Munk equation and its significance in modeling ocean circulation.

   • Description of the mathematical challenges associated with degenerate boundary layers.

2. Multiscale Analysis

   • Detailed examination of the multiscale nature of the problem.

   • Techniques for analyzing the interactions between different scales in the ocean circulation model.

3. Construction of the Approximate Solution

   • Methodologies for constructing an approximate solution to the Munk equation.

   • Discussion on the accuracy and limitations of the approximation.

4. Proof of Convergence

   • Rigorous mathematical proof demonstrating the convergence of the approximate solution to the true solution.

   • Analysis of the conditions under which convergence occurs.

5. Discussion: Physical Relevance of the Model

   • Interpretation of the mathematical results in the context of physical oceanography.

   • Implications for understanding large-scale ocean circulation patterns.

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Tags: Anne Laure Dalibard, Laure Saint Raymond, Mathematical Study, Degenerate Boundary Layers