Title: Analysis of Hydrodynamic Models (CBMS-NSF Regional Conference Series in Applied Mathematics)
Publisher: Society for Industrial & Applied Mathematics,U.S.
Publication Date: 2017
Language: English
ISBN 10: 1611974798
ISBN 13: 9781611974799
Binding: Soft cover
Condition: New

About this title

Synopsis

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.

Audience: This book is intended for graduate students and junior researchers in mathematics.

Contents: 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.

About the Author

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.

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