Description

Book Synopsis
This book is dedicated to the qualitative theory of the stochastic one-dimensional Burgers equation with small viscosity under periodic boundary conditions and to interpreting the obtained results in terms of one-dimensional turbulence in a fictitious one-dimensional fluid described by the Burgers equation.

Table of Contents
  • Introduction
  • Stochastic Burgers equation: Basic results
  • Asymptotically sharp estimates for Sobolev norms of solutions
  • Mixing in the stochastic Burgers equation
  • Stochastic Burgers equation in the space $L_1$
  • Notes and comments, I
  • One-dimensional turbulence: Turbulence and burgulence
  • Rigorous burgulence
  • The inviscid limit and inviscid burgulence
  • Notes and comments, II
  • Additional material: Miscellanea
  • Appendices
  • Solutions for selected exercises
  • Acknowledgements
  • Bibliography
  • Index

OneDimensional Turbulence and the Stochastic

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    Order before 4pm tomorrow for delivery by Sat 27 Jun 2026.

    A Paperback by Alexandre Boritchev, Sergei Kuksin

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      View other formats and editions of OneDimensional Turbulence and the Stochastic by Alexandre Boritchev

      Publisher: MP-AMM American Mathematical
      Publication Date: 10/30/2021 12:00:00 AM
      ISBN13: 9781470464363, 978-1470464363
      ISBN10: 1470464365

      Description

      Book Synopsis
      This book is dedicated to the qualitative theory of the stochastic one-dimensional Burgers equation with small viscosity under periodic boundary conditions and to interpreting the obtained results in terms of one-dimensional turbulence in a fictitious one-dimensional fluid described by the Burgers equation.

      Table of Contents
      • Introduction
      • Stochastic Burgers equation: Basic results
      • Asymptotically sharp estimates for Sobolev norms of solutions
      • Mixing in the stochastic Burgers equation
      • Stochastic Burgers equation in the space $L_1$
      • Notes and comments, I
      • One-dimensional turbulence: Turbulence and burgulence
      • Rigorous burgulence
      • The inviscid limit and inviscid burgulence
      • Notes and comments, II
      • Additional material: Miscellanea
      • Appendices
      • Solutions for selected exercises
      • Acknowledgements
      • Bibliography
      • Index

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