3 papers
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.AP2026
On -semigroup to Stokes equation with dynamic slip boundary condition in the half-space
Dalibor Pražák, Michael Zelina
We consider evolutionary Stokes system, coupled with the so-called dynamic slip boundary condition, in the simple geometry of a -dimensional half-space. Using the standard techn…
math.AP2024
On the attractor for 2D Navier-Stokes-like system with the dynamic slip boundary condition in a channel
Michael Zelina
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 exhaust…