Work

On the attractor for 2D Navier–Stokes-like system with the dynamic slip boundary condition in a channel

Year: 2026

Type: article

Abstract: We consider a 2D infinite channel domain with an incompressible fluid satisfying the so-called dynamic slip boundary condition on the (part of the) boundary. Introducing an exhaustion by a sequence of bounded sub-domains of the whole channel, we show that the unique weak solution is strong. We then construct the global attractor and find an explicit upper bound of its fractal dimension with regard to the physical parameters. This result is compatible with the analogous estimate in the case of the Dirichlet boundary condition.

Source: Journal of Evolution Equations

DOI: 10.1007/s00028-026-01248-0

Author: Michael Zelina

Institution: Charles University

Language: English

Topic: Navier-Stokes equation solutions

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $2,990

Funders: Univerzita Karlova v Praze, Grantová Agentura České Republiky, Uppsala Universitet