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Analysis of hydrodynamic models / Peter Constantin, Princeton University, Princeton, New Jersey.
- Format:
- Book
- Author/Creator:
- Constantin, P. (Peter), 1951- author.
- Series:
- CBMS-NSF regional conference series in applied mathematics ; 90.
- CBMS-NSF regional conference series in applied mathematics ; 90
- Language:
- English
- Subjects (All):
- Hydrodynamics--Mathematical models.
- Hydrodynamics.
- Physical Description:
- 1 PDF (x, 63 pages).
- Place of Publication:
- Philadelphia, Pennsylvania : Society for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104), [2017]
- System Details:
- Mode of access: World Wide Web.
- System requirements: Adobe Acrobat Reader.
- Summary:
- 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.
- Contents:
- Preface
- 1. Introduction
- 2. Lagrangian and Eulerian descriptions of hydrodynamic systems
- 3. Hydrodynamic models
- 4. Spaces and operators
- 5. The Lagrangian-Eulerian existence theorems
- 6. Critical dissipative active scalars.
- Notes:
- Includes bibliographical references and index.
- Description based on title page of print version.
- ISBN:
- 1-61197-480-1
- OCLC:
- 971248767
- Publisher Number:
- CB90 SIAM
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