Description

Book 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.

Table of 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.

Analysis of Hydrodynamic Models

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    A Paperback by Peter Constantin

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      Publisher: Society for Industrial & Applied Mathematics,U.S.
      Publication Date: Publication Date: 30/06/2017
      ISBN13: 9781611974799, 978-1611974799
      ISBN10: 1611974798
      Also in:
      Applied mathematics Differential calculus and equations

      Description

      Book 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.

      Table of 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.

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