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On the Theory of Weak Turbulence for the Nonlinear Schrodinger Equation

On the Theory of Weak Turbulence for the Nonlinear Schrodinger Equation (Paperback)

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Synopsis

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.

Science & MathematicsMathematicsCalculus & mathematical analysisDifferential calculus & equationsScience & MathematicsPhysicsClassical mechanicsWave mechanics incl vibration & acousticsScience & MathematicsPhysicsMathematical physics Publisher: American Mathematical Society Publication Date: 30/10/2015 ISBN-13: 9781470414344  Details: Type: Paperback Format: Books
Availability: To Order. Estimated despatch in 1-3 weeks.  

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

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