Analysis of hydrodynamic models

著者

    • Constantin, P. (Peter)

書誌事項

Analysis of hydrodynamic models

Peter Constantin

(CBMS-NSF regional conference series in applied mathematics, 90)

Society for Industrial and Applied Mathematics, c2017

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注記

Includes bibliographical references (p. 59-61) and index

内容説明・目次

内容説明

Analysis of Hydrodynamic Models presents a concise treatment of a number of partial differential equations of hydrodynamic origin, including the incompressible Euler equations, SQG, Boussinesq, incompressible porous medium, and Oldroyd-B. The author’s approach is based on properties of the particle trajectory maps and on analysis of the back-and-forth passage between the Lagrangian and the Eulerian descriptions. This concise, unified approach brings readers up to date on current open problems.

目次

Preface Chapter 1: Introduction Chapter 2: Lagrangian and Eulerian descriptions of hydrodynamic systems Chapter 3: Hydrodynamic models Chapter 4: Spaces and operators Chapter 5: The Langrangian-Eulerian existence theorems Chapter 6: Critical dissipative active scalars Bibliography Index.

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