Analysis of Hydrodynamic Models

Peter Constantin

ISBN 10: 1611974798 / ISBN 13: 9781611974799

Published by Society for Industrial and Applied Mathematics,U.S., US, 2017

About this Item

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.

Seller Inventory # LU-9781611974799

Bibliographic Details

• Title: Analysis of Hydrodynamic Models
• Publisher: Society for Industrial and Applied Mathematics,U.S., US
• Publication Date: 2017
• Language: English
• ISBN 10: 1611974798
• ISBN 13: 9781611974799
• Binding: Paperback
• Condition: New
• Weight: 180 grams

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.