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math.AP2026
On finite-dimensional attractor to nonsmooth reaction-diffusion equations
Dalibor Pražák, Buddhika Priyasad, Michael Zelina
We consider a reaction diffusion equation, where the lower-order nonlinearity allows for a non-smooth part, described by a maximal monotone relation. We show that the global attrac…
math.AP2023
Strong solutions and attractor dimension for 2D NSE with dynamic boundary conditions
Dalibor Pražák, Michael Zelina
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…
math.AP2023
The Existence and Dimension of the Attractor for a 3D Flow of a Non-Newtonian Fluid subject to Dynamic Boundary Conditions
Dalibor Prazak, Buddhika Priyasad
We consider non-Newtonian incompressible 3D fluid of Ladyzhenskaya type, in the setting of the dynamic boundary condition. Assuming sufficient growth rate of the stress tensor with…