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Space Propagation of Instabilities in Zakharov Equations
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | METIVIER, Guy | |
| dc.date.accessioned | 2024-04-04T03:13:49Z | |
| dc.date.available | 2024-04-04T03:13:49Z | |
| dc.date.issued | 2008 | |
| dc.identifier.issn | 0167-2789 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/193984 | |
| dc.description.abstractEn | In this paper we study an initial boundary value problem for Zakharov's equations, describing the space propagation of a laser beam entering in a plasma. We prove a strong instability result and prove that the mathematical problem is ill-posed in Sobolev spaces. We also show that it is well posed in spaces of analytic functions. Several consequences for the physical consistency of the model are discussed. | |
| dc.language.iso | en | |
| dc.publisher | Elsevier | |
| dc.subject.en | Zakharov equations | |
| dc.subject.en | laser plasma interaction | |
| dc.subject.en | instabilities | |
| dc.subject.en | space propagation | |
| dc.title.en | Space Propagation of Instabilities in Zakharov Equations | |
| dc.type | Article de revue | |
| dc.subject.hal | Mathématiques [math]/Equations aux dérivées partielles [math.AP] | |
| dc.identifier.arxiv | math.AP/0703500 | |
| bordeaux.journal | Physica D: Nonlinear Phenomena | |
| bordeaux.page | 1640--1654 | |
| bordeaux.volume | 237 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-00137165 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-00137165v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Physica%20D:%20Nonlinear%20Phenomena&rft.date=2008&rft.volume=237&rft.spage=1640--1654&rft.epage=1640--1654&rft.eissn=0167-2789&rft.issn=0167-2789&rft.au=METIVIER,%20Guy&rft.genre=article |
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