BLOWDISOL
"BLOW UP, DISPERSION AND SOLITONS"
| Coordinatore | UNIVERSITE DE CERGY-PONTOISE
Spiacenti, non ci sono informazioni su questo coordinatore. Contattare Fabio per maggiori infomrazioni, grazie. |
| Nazionalità Coordinatore | France [FR] |
| Totale costo | 2˙079˙798 € |
| EC contributo | 2˙079˙798 € |
| Programma | FP7-IDEAS-ERC
Specific programme: "Ideas" implementing the Seventh Framework Programme of the European Community for research, technological development and demonstration activities (2007 to 2013) |
| Code Call | ERC-2011-ADG_20110209 |
| Funding Scheme | ERC-AG |
| Anno di inizio | 2012 |
| Periodo (anno-mese-giorno) | 2012-04-01 - 2017-03-31 |
Partecipanti
| # | ||||
|---|---|---|---|---|
| 1 |
UNIVERSITE DE CERGY-PONTOISE
Organization address
address: BOULEVARD DU PORT 33 contact info |
FR (Cergy-Pontoise) | hostInstitution | 2˙079˙798.00 |
| 2 |
UNIVERSITE DE CERGY-PONTOISE
Organization address
address: BOULEVARD DU PORT 33 contact info |
FR (Cergy-Pontoise) | hostInstitution | 2˙079˙798.00 |
Mappa
Word cloud
Esplora la "nuvola delle parole (Word Cloud) per avere un'idea di massima del progetto.
Obiettivo del progetto (Objective)
'Many physical models involve nonlinear dispersive problems, like wave or laser propagation, plasmas, ferromagnetism, etc. So far, the mathematical under- standing of these equations is rather poor. In particular, we know little about the detailed qualitative behavior of their solutions. Our point is that an apparent com- plexity hides universal properties of these models; investigating and uncovering such properties has started only recently. More than the equations themselves, these univer- sal properties are essential for physical modelisation. By considering several standard models such as the nonlinear Schrodinger, nonlinear wave, generalized KdV equations and related geometric problems, the goal of this pro- posal is to describe the generic global behavior of the solutions and the proï¬les which emerge either for large time or by concentration due to strong nonlinear effects, if pos- sible through a few relevant solutions (sometimes explicit solutions, like solitons). In order to do this, we have to elaborate different mathematical tools depending on the context and the speciï¬city of the problems. Particular emphasis will be placed on - large time asymptotics for global solutions, decomposition of generic solutions into sums of decoupled solitons in non integrable situations, - description of critical phenomenon for blow up in the Hamiltonian situation, stable or generic behavior for blow up on critical dynamics, various relevant regularisations of the problem, - global existence for defocusing supercritical problems and blow up dynamics in the focusing cases. We believe that the PI and his team have the ability to tackle these problems at present. The proposal will open whole ï¬elds of investigation in Partial Differential Equations in the future, clarify and simplify our knowledge on the dynamical behavior of solutions of these problems and provide Physicists some new insight on these models.'