On the Theory of Weak Turbulence for the Nonlinear Schrodinger Equation
Author:   M. Escobedo ,  J. J. L. Velazquez
Publisher:   American Mathematical Society
ISBN:  

9781470414344


Pages:   107
Publication Date:   30 December 2015
Format:   Paperback
Availability:   Temporarily unavailable   Availability explained
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On the Theory of Weak Turbulence for the Nonlinear Schrodinger Equation


Overview

The authors study the Cauchy problem for a kinetic equation arising in the weak turbulence theory for the cubic nonlinear Schrodinger equation. They define suitable concepts of weak and mild solutions and prove local and global well posedness results. Several qualitative properties of the solutions, including long time asymptotics, blow up results and condensation in finite time are obtained. The authors also prove the existence of a family of solutions that exhibit pulsating behavior.

Full Product Details

Author:   M. Escobedo ,  J. J. L. Velazquez
Publisher:   American Mathematical Society
Imprint:   American Mathematical Society
Weight:   0.280kg
ISBN:  

9781470414344


ISBN 10:   1470414341
Pages:   107
Publication Date:   30 December 2015
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Temporarily unavailable   Availability explained
The supplier advises that this item is temporarily unavailable. It will be ordered for you and placed on backorder. Once it does come back in stock, we will ship it out to you.

Table of Contents

Introduction Well-posedness results Qualitative behaviors of the solutions Solutions without condensation: Pulsating behavior Heuristic arguments and open problems Auxiliary results Bibliography Index

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Author Information

M. Escobedo, Universidad del Pais Vasco, Bilbao, Spain. J. J. L. Velazquez, Institute for Applied Mathematics, Bonn, Germany.

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Latest Reading Guide

NOV RG 20252

 

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