Strong trajectory statistical solutions and Liouville type equation for dissipative Euler equations

The main aim of this letter is to use the strong compact strong trajectory attractor to construct the strong trajectory statistical solutions for two-dimensional dissipative Euler equations. Further, it is established that the constructed trajectory statistical solutions possess an invariant propert...

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Detalhes bibliográficos
Autores: Zhao, Caidi, Song, Zhongchun, Caraballo Garrido, Tomás
Tipo de documento: artigo
Estado:Versión enviada para evaluación y publicación
Data de publicação:2020
País:España
Recursos:Universidad de Sevilla (US)
Repositório:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/88959
Acesso em linha:https://hdl.handle.net/11441/88959
https://doi.org/10.1016/j.aml.2019.07.012
Access Level:Acceso aberto
Palavra-chave:Dissipative Euler equations
Strong trajectory statistical solution
Strong compact strong trajectory attractor
Liouville type equation
Descrição
Resumo:The main aim of this letter is to use the strong compact strong trajectory attractor to construct the strong trajectory statistical solutions for two-dimensional dissipative Euler equations. Further, it is established that the constructed trajectory statistical solutions possess an invariant property and satisfy a Liouville type equation.