On the theory of weak turbulence for the nonlinear Schrödinger equation

On the theory of weak turbulence for the nonlinear Schrödinger equation / M. Escobedo, J.J.L. Velázquez.

We study the Cauchy problem for a kinetic equation arising in the weak turbulence theory for the cubic nonlinear Schrödinger equation. We define suitable concepts of weak and mild solutions and prove local and global well posedness results. Several qualitative properties of the solutions, including...

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Bibliographic Details
Main Authors: Escobedo, Miguel, 1957- (Author), Velázquez, J. J. L. (Juan J. L.) (Author)
Format: eBook
Language:English
Published: Providence, Rhode Island : American Mathematical Society, 2015.
Series:Memoirs of the American Mathematical Society ; no. 1124.
Subjects:
Schrödinger equation.
Nonlinear systems.
Turbulence.
Wave mechanics.
SCIENCE > Energy.
SCIENCE > Mechanics > General.
SCIENCE > Physics > General.
Nonlinear systems
Schrödinger equation
Turbulence
Wave mechanics
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