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- W3047510867 abstract "Les travaux presentes dans ce memoire portent sur l’existence et l’etude qualitative des solutions des equations aux derivees partielles non lineaires, et tout particulierement des solutions ayant une structure spatiale et temporelle bien definie, appelees suivant les cas ondes stationnaires, ondes progressives, ondes solitaires, ou de maniere generale ondes non lineaires. Ces structures sont bien observees experimentalement et numeriquement, et tres souvent jouent un role majeur dans la dynamique des systemes correspondants. Les systemes consideres sont des modeles concrets issus de la mecanique des fluides, de la superfluidite, de la superconductivite ou de la physique des transitions de phase. A titre d’exemples, on peut citer les tres nombreux modeles representant differentes approximations de la propagation des ondes a la surface libre d’un fluide (equations de Benjamin-Ono, de Kadomtsev-Petviashvili, ou de Benney-Luke). D’autre part, il convient de mentionner les differentes variantes de l’equation de Schrodinger non-lineaire (comme l’equation de Gross-Pitaevskii, l’equation de Hartree ou l’equation de Schrodinger avec nonlinearite de type ”ψ3 − ψ5”) qui interviennent dans l’etude des condensats de Bose-Einstein, la supraconductivite et la superfluidite" @default.
- W3047510867 created "2020-08-10" @default.
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- W3047510867 date "2008-12-04" @default.
- W3047510867 modified "2023-09-23" @default.
- W3047510867 title "Existence and qualitative properties of solutions of some non-linear elliptic problems" @default.
- W3047510867 hasPublicationYear "2008" @default.
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