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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Detalles Bibliográficos
Autores: Zhao, Caidi, Song, Zhongchun, Caraballo Garrido, Tomás
Tipo de recurso: artículo
Estado:Versión enviada para evaluación y publicación
Fecha de publicación:2020
País:España
Institución:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/88959
Acceso en línea:https://hdl.handle.net/11441/88959
https://doi.org/10.1016/j.aml.2019.07.012
Access Level:acceso abierto
Palabra clave:Dissipative Euler equations
Strong trajectory statistical solution
Strong compact strong trajectory attractor
Liouville type equation
Descripción
Sumario: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.