Analysis of hydrodynamic models
著者
書誌事項
Analysis of hydrodynamic models
（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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