Instabilities in Zakharov Equations for Laser Propagation in a Plasma
hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
dc.contributor.author | COLIN, Thierry | |
hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
dc.contributor.author | METIVIER, Guy | |
dc.contributor.editor | A.Bove | |
dc.contributor.editor | F.Colombini | |
dc.contributor.editor | D.Del Santo | |
dc.date.accessioned | 2024-04-04T03:18:36Z | |
dc.date.available | 2024-04-04T03:18:36Z | |
dc.date.issued | 2006 | |
dc.date.conference | 2006 | |
dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/194424 | |
dc.description.abstractEn | F.Linares, G.Ponce, J-C.Saut have proved that a non-fully dispersive Zakharov system arising in the study of Laser-plasma interaction, is locally well posed in the whole space, for fields vanishing at infinity. Here we show that in the periodic case, seen as a model for fields non-vanishing at infinity, the system develops strong instabilities of Hadamard's type, implying that the Cauchy problem is strongly ill-posed. | |
dc.language.iso | en | |
dc.publisher | Birkhäuser | |
dc.source.title | Phase Space Analysis of Partial Differential Equations | |
dc.title.en | Instabilities in Zakharov Equations for Laser Propagation in a Plasma | |
dc.type | Communication dans un congrès | |
dc.subject.hal | Mathématiques [math]/Equations aux dérivées partielles [math.AP] | |
dc.identifier.arxiv | math.AP/0611461 | |
bordeaux.page | pp 63--81 | |
bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
bordeaux.institution | Université de Bordeaux | |
bordeaux.institution | Bordeaux INP | |
bordeaux.institution | CNRS | |
bordeaux.conference.title | Instabilities in Zakharov Equations for Laser Propagation in a Plasma | |
bordeaux.country | IT | |
bordeaux.title.proceeding | Phase Space Analysis of Partial Differential Equations | |
bordeaux.conference.city | Pienza | |
bordeaux.peerReviewed | oui | |
hal.identifier | hal-00114025 | |
hal.version | 1 | |
hal.invited | non | |
hal.proceedings | oui | |
hal.popular | non | |
hal.audience | Internationale | |
hal.origin.link | https://hal.archives-ouvertes.fr//hal-00114025v1 | |
bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.btitle=Phase%20Space%20Analysis%20of%20Partial%20Differential%20Equations&rft.date=2006&rft.spage=pp%2063--81&rft.epage=pp%2063--81&rft.au=COLIN,%20Thierry&METIVIER,%20Guy&rft.genre=unknown |
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