One-dimensional turbulence and the stochastic Burgers equation /

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 e...

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Bibliographic Details
Main Authors:	Boritchev, Alexandre, 1986- (Author), Kuksin, Sergej B., 1955- (Author)
Format:	Book
Language:	English
Published:	Providence, Rhode Island : American Mathematical Society, [2021]
Series:	Mathematical surveys and monographs ; no. 255.
Subjects:	Stochastic partial differential equations. Burgers equation. Turbulence > Mathematical models.

Table of Contents:

Basic results
Asymptotically sharp estimates for Sobolev norms of solutions
Mixing in the stochastic Burgers equation
Stochastic Burgers equation in the space L₁
Notes and comments, I
Turbulence and burgulence
Rigorous burgulence
The inviscid limit and inviscid burgulence
Notes and comments, II
Miscellanea
Appendices
Solutions for selected exercises.