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On the Theory of Weak Turbulence for the Nonlinear Schrodinger Equation

By: M. Escobedo (Author) , J. J. L. Velazquez (Author)

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Ksh 19,150.00

Format: Paperback or Softback

ISBN-13: 9781470414344

Publisher: American Mathematical Society

Publication Date: Dec 30th, 2015

Category: Differential calculus & equations

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Examines the Cauchy problem for a kinetic equation arising in the weak turbulence theory for the cubic nonlinear Schrodinger equation. The authors 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.

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