Description

Book Synopsis
Provides graduate students with exposure to the mathematical analysis of the incompressible Euler and Navier-Stokes equations. The book gives a concise introduction to the fundamental results in the well-posedness theory of these PDEs, leaving aside some of the technical challenges presented by bounded domains or by intricate functional spaces.

Table of Contents
  • Ideal incompressible fluids: The Euler equations
  • Existence of solutions and continuation criteria for Euler
  • Incompressible viscous fluids: The Navier-Stokes equations
  • Leray-Hopf weak solutions of Navier-Stokes
  • Mild solutions of Navier-Stokes
  • A survey of some advanced topics
  • Appendix
  • Bibliography
  • Index

The Mathematical Analysis of the Incompressible

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    Order before 4pm today for delivery by Fri 3 Jul 2026.

    A Paperback / softback by Jacob Bedrossian, Vlad Vicol

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      Publisher: American Mathematical Society
      Publication Date: 30/12/2022
      ISBN13: 9781470471781, 978-1470471781
      ISBN10: 1470471787
      Also in:
      Mathematical / Computational / Theoretical physics

      Description

      Book Synopsis
      Provides graduate students with exposure to the mathematical analysis of the incompressible Euler and Navier-Stokes equations. The book gives a concise introduction to the fundamental results in the well-posedness theory of these PDEs, leaving aside some of the technical challenges presented by bounded domains or by intricate functional spaces.

      Table of Contents
      • Ideal incompressible fluids: The Euler equations
      • Existence of solutions and continuation criteria for Euler
      • Incompressible viscous fluids: The Navier-Stokes equations
      • Leray-Hopf weak solutions of Navier-Stokes
      • Mild solutions of Navier-Stokes
      • A survey of some advanced topics
      • Appendix
      • Bibliography
      • Index

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