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Analysis of Hydrodynamic Models

Peter Constantin (author)

ISBN: 9781611974799

Publication Date: Jun 2017

Format: Paperback

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.
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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.
Pages 62
Dimensions 229 x 152
Date Published 30 Jun 2017
Publisher SIAM - Society for Industrial and Applied Mathematics
Series CBMS-NSF Regional Conference Series in Applied Mathematics
Series Part 90
Subject/s Applied mathematics   Differential calculus & equations  
  • 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.
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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