Post-Blowup Dynamics for the Nonlinear Schrödinger Equation/ (Record no. 39184)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 02974n a2200301#a 4500 |
| 001 - CONTROL NUMBER | |
| control field | 40621 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | P5A |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20230123132014.0 |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION | |
| fixed length control field | cr cuuuuuauuuu |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 211202s2021 bl por d |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | ocm51338542 |
| 040 ## - CATALOGING SOURCE | |
| Original cataloging agency | P5A |
| Transcribing agency | P5A |
| 090 ## - IMPA CODE FOR CLASSIFICATION SHELVES | |
| IMPA CODE FOR CLASSIFICATION SHELVES | Teses do IMPA |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Escorcia Tafur, José Manuel |
| 9 (RLIN) | 1711 |
| 245 10 - TITLE STATEMENT | |
| Title | Post-Blowup Dynamics for the Nonlinear Schrödinger Equation/ |
| Statement of responsibility, etc. | José Manuel Escorcia Tafur. |
| 246 1# - VARYING FORM OF TITLE | |
| Title proper/short title | Dinâmica pós-explosão para a equação de Schrödinger não linear |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. | |
| Place of publication, distribution, etc. | Rio de Janeiro: |
| Name of publisher, distributor, etc. | IMPA, |
| Date of publication, distribution, etc. | 2021. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | video online |
| 500 ## - GENERAL NOTE | |
| General note | Defesa de Tese. |
| 500 ## - GENERAL NOTE | |
| General note | Banca examinadora: Prof. Alexei A. Mailybaev (IMPA), orientador Prof. André Nachbin (IMPA) Prof. Felipe Linares (IMPA) Prof. Pavel Lushnikov (University of New Mexico, USA) Prof. Simon Thalabard (Université Cote d'Azur, França) Dr. Dmitry Agafontsev (Shirshov Institute of Oceanology, Russia), suplente |
| 505 1# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | Abstract: In this work we present a systematic numerical study of the post-blowup dynamics of singular solutions of the 1D focusing critical NLS equation in the framework of a nonlinear damped perturbation. The first part of this study shows that initially the post-blowup is well described by the adibatic approximation, in which the collapsing core approaches an universal profile and the solution width is governed by a system of ODEs (reduced system). After that, a non-adiabatic regime is observed soon after the maximum of the solution, in which our direct numerical simulations show a clear deviation from the dynamics based on the reduced system. Our study suggests that such non-adiabatic regime is caused by the increasing influx of mass into the collapsing core of the solution, which is not considered in the derivation of the reduced system. Also, adiabatic theoretical predictions related to the wave-maximum and wave-dissipation are compared with our numerical simulations. The second part of this work corresponds to the non-adiabatic dynamics. Here, numerical simulations reveal a dominant linear regime, caused by the rapid defocusing process. A fact observed in this linear regime is the numerical verification that the collapsing core approaches the universal profile, after removing some oscillations resulting from the interference with the tail. Finally, our numerical study indicates that in the limit of vanishing dissipation, and in a free-space domain, the critical mass is radiated to infinity instantly at the collapse time . |
| 650 04 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Matematica. |
| Source of heading or term | larpcal |
| 9 (RLIN) | 19899 |
| 697 ## - LOCAL SUBJECT | |
| Local Subject | Teses do IMPA |
| Linkage | 24311 |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Carneiro, Emanuel |
| Affiliation | (IMPA) |
| Relator term | orientador |
| 9 (RLIN) | 5291 |
| 711 2# - ADDED ENTRY--MEETING NAME | |
| Meeting name or jurisdiction name as entry element | Defesa de Tese |
| 9 (RLIN) | 10070 |
| 856 4# - ELECTRONIC LOCATION AND ACCESS | |
| Public note | VIDEO |
| Uniform Resource Identifier | <a href="https://bit.ly/32DcKGN">https://bit.ly/32DcKGN</a> |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Source of classification or shelving scheme | Instituto de Matemática Pura e Aplicada |
| Koha item type | VIDEO |
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