On the Fractal Burgers Equation with a Stochastic Noisy Term

The classical Burgers equation was proposed by Burgers [3] as a particular case of the Navier-Stokes equation, and has been used extensively to study turbulence and other physical phenomena (see e.g. [9],[6],[12], [16]). Burgers equation involving fractional powers ∆ α:= − (−∆) α/2,α∈ (0,2], of theL...

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Detalles Bibliográficos
Autor: EKATERINA TODOROVA KOLKOVSKA
Tipo de recurso: informe técnico
Estado:Versión publicada
Fecha de publicación:2003
País:México
Institución:Centro de Investigación en Matemáticas
Repositorio:Repositorio Institucional CIMAT
Idioma:inglés
OAI Identifier:oai:cimat.repositorioinstitucional.mx:1008/706
Acceso en línea:http://cimat.repositorioinstitucional.mx/jspui/handle/1008/706
Access Level:acceso abierto
Palabra clave:info:eu-repo/classification/MSC/Ecuaciones de Burger
info:eu-repo/classification/cti/1
info:eu-repo/classification/cti/12
info:eu-repo/classification/cti/1208
info:eu-repo/classification/cti/110403
Descripción
Sumario:The classical Burgers equation was proposed by Burgers [3] as a particular case of the Navier-Stokes equation, and has been used extensively to study turbulence and other physical phenomena (see e.g. [9],[6],[12], [16]). Burgers equation involving fractional powers ∆ α:= − (−∆) α/2,α∈ (0,2], of theLaplacian in its linear part has also been studied in connection with models of several hydrodynamical phenomena (see e.g. [17], [5], [4] and the references therein for applications)