Strong solutions and attractor dimension for 2D NSE with dynamic boundary conditions

Autor:	Pražák, Dalibor, Zelina, Michael
Rok vydání:	2023
Předmět:	Mathematics - Analysis of PDEs 76D05 35B65 37L30
Druh dokumentu:	Working Paper
Popis:	We consider incompressible Navier-Stokes equations in a bounded 2D domain, complete with the so-called dynamic slip boundary conditions. Assuming that the data are regular, we show that weak solutions are strong. As an application, we provide an explicit upper bound of the fractal dimension of the global attractor in terms of the physical parameters. These estimates comply with analogous results in the case of Dirichlet boundary condition.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2307.12413 Zobrazit plný text záznamu View this record from Arxiv