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- W2963674885 abstract "Cet article propose une introduction à l'équation de Burgers visqueuse stochastique unidimensionnelle périodique, perturbée par une force aléatoire de type bruit blanc en temps, et suffisamment régulière en espace. Nous prouvons des résultats classiques sur l'existence et l'unicité des solutions, nous étudions leur régularité et nous discutons leurs propriétés quand le temps tend vers l'infini ou quand la viscosité ν tend vers zéro. La dernière limite décrit la turbulence dans l'équation de Burgers, nommée burgulence par U. Frisch. Notre article sert d'introduction élémentaire aux méthodes modernes de l'analyse des équations aux dérivées partielles stochastiques." @default.
- W2963674885 created "2019-07-30" @default.
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- W2963674885 date "2016-03-01" @default.
- W2963674885 modified "2023-10-18" @default.
- W2963674885 title "Introduction à l'équation de Burgers stochastique et à la Burgulence" @default.
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- W2963674885 doi "https://doi.org/10.1016/j.bulsci.2015.11.004" @default.
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