Homogenization of Trajectory Statistical Solutions for the 3D Incompressible Micropolar Fluids with Rapidly Oscillating Terms

Autor: Hujun Yang, Xiaoling Han, Caidi Zhao

Publikováno v: Mathematics, Vol 10, Iss 14, p 2469 (2022)

This article studies the 3D incompressible micropolar fluids with rapidly oscillating terms. The authors prove that the trajectory statistical solutions of the oscillating fluids converge to that of the homogenized fluids provided that the oscillatin

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Existence, degenerate regularity and limit behavior of trajectory statistical solution for the 3D incompressible micropolar fluids flows with damping term

Autor: Zhao, Caidi, Miao, Binbin, Caraballo Garrido, Tomás

Título alternativo: Journal of Applied Mathematics and Physics This article studies the existence, degenerate regularity and limit behavior of the trajectory statistical solution for a three-dimensional incompressible micropolar fluids flows with a

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=od______3272::ff26d2a5019c13eb42cedb1de518fc1e

Trajectory statistical solutions and Liouville type equations for evolution equations: abstract results and applications

Autor: Tomás Caraballo, Caidi Zhao, Yanjiao Li

Publikováno v: idUS: Depósito de Investigación de la Universidad de Sevilla
Universidad de Sevilla (US)
idUS. Depósito de Investigación de la Universidad de Sevilla
instname

In this article, we first prove, from the viewpoint of infinite dynamical system, sufficient conditions ensuring the existence of trajectory statistical solutions for autonomous evolution equations. Then we establish that the constructed trajectory s

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::85a58f2c0400c739515de979a4b65ad3

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

Autor: Caidi Zhao, Zhongchun Song, Tomás Caraballo

Publikováno v: idUS. Depósito de Investigación de la Universidad de Sevilla
instname

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

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::46b685a5d8dae8dd188b32e53e7d2b02