Analysis of Hydrodynamic Models
Will be published approx. on 30. June 2017
Book
Paperback/Softback
62 pages
978-1-61197-479-9 (ISBN)
Description
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.
More details
Series
Language
English
Place of publication
New York
United States
Target group
Professional and scholarly
Dimensions
Height: 229 mm
Width: 152 mm
Weight
180 gr
ISBN-13
978-1-61197-479-9 (9781611974799)
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Schweitzer Classification
Person
Peter Constantin is the John von Neumann Professor in the Department of Mathematics and Director of PACM (Program in Applied and Computational Mathematics) at Princeton University. He was an Alfred P. Sloan Research Fellow (1986-1990) and is a Fellow of the Institute of Physics, a SIAM Fellow, a Fellow of the American Academy of Arts and Sciences, and an AMS Inaugural Fellow. He has served on the editorial boards of several journals and published over 170 papers and two books.
Content
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.
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.