Journal of Evolution Equations· 2026Q1
On the attractor for 2D Navier–Stokes-like system with the dynamic slip boundary condition in a channel
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- Q1SCImago
- 2026year
Short summary
A 2D Navier-Stokes-like system with dynamic slip boundary conditions in a channel is shown to have a unique weak solution that is strong, with an explicit upper bound on the fractal dimension of its global attractor.
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Key points
- The study considers a 2D Navier-Stokes-like system with dynamic slip boundary conditions in a channel.
- It demonstrates that the unique weak solution to this system is strong.
- A global attractor for the system is constructed.
- An explicit upper bound for the fractal dimension of the global attractor is derived.
AI-generated from the title and abstract; the full text is not read.
Abstract
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.
The authors' abstract, as published at the source. Journal of Evolution Equations, 2026 · DOI ↗
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Field: Applied Mathematics
Applied MathematicsMathematics