On the Theory of Weak Turbulence for the Nonlinear Schrodinger Equation

On the Theory of Weak Turbulence for the Nonlinear Schrodinger Equation
Author :
Publisher : American Mathematical Soc.
Total Pages : 120
Release :
ISBN-10 : 9781470414344
ISBN-13 : 1470414341
Rating : 4/5 (44 Downloads)

Book Synopsis On the Theory of Weak Turbulence for the Nonlinear Schrodinger Equation by : M. Escobedo

Download or read book On the Theory of Weak Turbulence for the Nonlinear Schrodinger Equation written by M. Escobedo and published by American Mathematical Soc.. This book was released on 2015-10-27 with total page 120 pages. Available in PDF, EPUB and Kindle. Book excerpt: The authors study the Cauchy problem for a kinetic equation arising in the weak turbulence theory for the cubic nonlinear Schrödinger 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.


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