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On the theory of weak turbulence for the nonlinear Schrödinger equation /
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...
| Clasificación: | Libro Electrónico |
|---|---|
| Autores principales: | , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Providence, Rhode Island :
American Mathematical Society,
2015.
|
| Colección: | Memoirs of the American Mathematical Society ;
no. 1124. |
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 100 | 1 | |a Escobedo, Miguel, |d 1957- |e author. |1 https://id.oclc.org/worldcat/entity/E39PCjDk6FRFWjpxDPJgJwRWcK | |
| 245 | 1 | 0 | |a On the theory of weak turbulence for the nonlinear Schrödinger equation / |c M. Escobedo, J.J.L. Velázquez. |
| 264 | 1 | |a Providence, Rhode Island : |b American Mathematical Society, |c 2015. | |
| 264 | 4 | |c ©2015 | |
| 300 | |a 1 online resource (v, 107 pages) : |b illustrations | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a Memoirs of the American Mathematical Society ; |v volume 238, no. 1124 | |
| 588 | 0 | |a Print version record. | |
| 500 | |a "Volume 238, number 1124 (second of 6 numbers), November 2015." | ||
| 504 | |a Includes bibliographical references (pages 103-105) and index. | ||
| 520 | |a 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 long time asymptotics, blow up results and condensation in finite time are obtained. We also prove the existence of a family of solutions that exhibit pulsating behavior. | ||
| 505 | 0 | |a Introduction -- Well-posedness results -- Qualitative behaviors of the solutions -- Solutions without condensation: pulsating behavior -- Heuristic arguments and open problems -- Auxiliary results -- Bibliography -- Index. | |
| 590 | |a ProQuest Ebook Central |b Ebook Central Academic Complete | ||
| 650 | 0 | |a Schrödinger equation. | |
| 650 | 0 | |a Nonlinear systems. | |
| 650 | 0 | |a Turbulence. | |
| 650 | 0 | |a Wave mechanics. | |
| 650 | 6 | |a Équation de Schrödinger. | |
| 650 | 6 | |a Systèmes non linéaires. | |
| 650 | 6 | |a Turbulence. | |
| 650 | 6 | |a Mécanique ondulatoire. | |
| 650 | 7 | |a SCIENCE |x Energy. |2 bisacsh | |
| 650 | 7 | |a SCIENCE |x Mechanics |x General. |2 bisacsh | |
| 650 | 7 | |a SCIENCE |x Physics |x General. |2 bisacsh | |
| 650 | 7 | |a Nonlinear systems |2 fast | |
| 650 | 7 | |a Schrödinger equation |2 fast | |
| 650 | 7 | |a Turbulence |2 fast | |
| 650 | 7 | |a Wave mechanics |2 fast | |
| 700 | 1 | |a Velázquez, J. J. L. |q (Juan J. L.), |e author. |1 https://id.oclc.org/worldcat/entity/E39PCjKF6W9mpWhQCfqyXfqjP3 | |
| 710 | 2 | |a American Mathematical Society, |e publisher. | |
| 758 | |i has work: |a On the theory of weak turbulence for the nonlinear Schrödinger equation (Text) |1 https://id.oclc.org/worldcat/entity/E39PCFQJd7bX3BFwbt87pf6V83 |4 https://id.oclc.org/worldcat/ontology/hasWork | ||
| 776 | 0 | 8 | |i Print version: |a Escobedo, Miguel, 1957- |t On the theory of weak turbulence for the nonlinear Schrödinger equation. |d Providence, Rhode Island : American Mathematical Society, [2015] |z 9781470414344 |w (DLC) 2015026567 |w (OCoLC)915323951 |
| 830 | 0 | |a Memoirs of the American Mathematical Society ; |v no. 1124. | |
| 856 | 4 | 0 | |u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=4832034 |z Texto completo |
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