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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£67.50

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RRP £75.00 – you save £7.50 (10%)

Order before 4pm tomorrow for delivery by Wed 21 Jan 2026.

A Paperback / softback by Jacob Bedrossian, Vlad Vicol

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    View other formats and editions of The Mathematical Analysis of the Incompressible by Jacob Bedrossian

    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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