Well-posedness and dynamics of 2D Navier–Stokes equations with moving boundary

Autor:	Qingquan Chang, Dandan Li
Rok vydání:	2023
Předmět:	Statistical and Nonlinear Physics Mathematical Physics
Zdroj:	Journal of Mathematical Physics. 64:022702
ISSN:	1089-7658 0022-2488
DOI:	10.1063/5.0113626
Popis:	We investigate the longtime dynamical behavior of 2D Navier–Stokes equations with a moving boundary. We obtain the well-posedness and dissipation through the penalty method. Then, we derive the regularity by applying a new penalty. Finally, we show that the induced dynamical system has pullback exponential attractors.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::6de02e9fb3bde1f461e16f9f8c3b3b6d https://doi.org/10.1063/5.0113626 Zobrazit plný text záznamu