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math.AP2023
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.AP2018
Time regularity of flows of non-Newtonian fluids with critical power-law growth
Miroslav Bulíček, Petr Kaplický, Dalibor Pražák
We deal with the flows of non-Newtonian fluids in three dimensional setting subjected to the homogeneous Dirichlet boundary condition. Under the natural monotonicity, coercivity an…
math.AP2009
Attractors for nonlinear reaction-diffusion systems in unbounded domains via the method of short trajectories
Maurizio Grasselli, Dalibor Pražák, Giulio Schimperna
We consider a nonlinear reaction-diffusion equation settled on the whole euclidean space. We prove the well-posedness of the corresponding Cauchy problem in a general functional se…