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OverviewThe 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. Full Product DetailsAuthor: M. Escobedo , J. J. L. VelazquezPublisher: American Mathematical Society Imprint: American Mathematical Society Weight: 0.280kg ISBN: 9781470414344ISBN 10: 1470414341 Pages: 107 Publication Date: 30 December 2015 Audience: Professional and scholarly , Professional & Vocational Format: Paperback Publisher's Status: Active Availability: Out of stock  The supplier is temporarily out of stock of this item. It will be ordered for you on backorder and shipped when it becomes available. Table of ContentsIntroduction Well-posedness results Qualitative behaviors of the solutions Solutions without condensation: Pulsating behavior Heuristic arguments and open problems Auxiliary results Bibliography IndexReviewsAuthor InformationM. Escobedo, Universidad del Pais Vasco, Bilbao, Spain. J. J. L. Velazquez, Institute for Applied Mathematics, Bonn, Germany. Tab Content 6Author Website:Countries AvailableAll regions |
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