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The Water Waves Problem: Mathematical Analysis and Asymptotics

hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorLANNES, David
dc.date.accessioned2024-04-04T03:19:43Z
dc.date.available2024-04-04T03:19:43Z
dc.date.issued2013
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/194533
dc.description.abstractEnThis monograph provides a comprehensive and self-contained study on the theory of water waves equations, a research area that has been very active in recent years. The vast literature devoted to the study of water waves offers numerous asymptotic models. Which model provides the best description of waves such as tsunamis or tidal waves? How can water waves equations be transformed into simpler asymptotic models for applications in, for example, coastal oceanography? This book proposes a simple and robust framework for studying these questions.The book should be of interest to graduate students and researchers looking for an introduction to water waves equations or for simple asymptotic models to describe the propagation of waves. Researchers working on the mathematical analysis of nonlinear dispersive equations may also find inspiration in the many (and sometimes new) models derived here, as well as precise information on their physical relevance.
dc.language.isoen
dc.title.enThe Water Waves Problem: Mathematical Analysis and Asymptotics
dc.typeOuvrage
dc.subject.halMathématiques [math]/Equations aux dérivées partielles [math.AP]
dc.subject.halPlanète et Univers [physics]
bordeaux.volume188
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
hal.identifierhal-01101991
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-01101991v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.date=2013&rft.volume=188&rft.au=LANNES,%20David&rft.genre=unknown


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