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On the Theory of Weak Turbulence for the Nonlinear Schrodinger Equation Book PDF Summary

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.

Detail Book of On the Theory of Weak Turbulence for the Nonlinear Schrodinger Equation PDF

On the Theory of Weak Turbulence for the Nonlinear Schrodinger Equation
  • Author : M. Escobedo
  • Release : 27 October 2015
  • Publisher : American Mathematical Soc.
  • ISBN : 9781470414344
  • Genre : Mathematics
  • Total Page : 120 pages
  • Language : English
  • PDF File Size : 21,6 Mb

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