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On the Theory of Weak Turbulence for the Nonlinear Schrodinger Equation (Memoirs of the American Mathematical Society)

Differential Equations

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Description

About the Author M. Escobedo, Universidad del Pais Vasco, Bilbao, Spain.J. J. L. Velazquez, Institute for Applied Mathematics, Bonn, Germany. Product Description 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.

Product Specifications

Format: paperback
ASIN: 1470414341
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Mathematical Analysis > Differential Equations
Domain: Amazon UK
Release Date: 30 December 2015
Listed Since: 20 August 2015

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On the Theory of Weak Turbulence for the Nonlinear Schrodinger Equation (Memoirs of the American Mathematical Society)

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