71 citations · 79 across the 4 of their papers we have counts for
4 papers
On the existence of global solutions for the 3D chemorepulsion system
Tomasz Cieślak, Mario Fuest, Karol Hajduk +1
In this paper, we give sufficient conditions for global-in-time existence of classical solutions for the fully parabolic chemorepulsion system posed on a convex, bounded three-dime…
Explicit characterisation of the fractional power spaces of the Dirichlet Laplacian and Stokes operators
Karol W. Hajduk, James C. Robinson
We identify explicitly the fractional power spaces for the Dirichlet Laplacian and Dirichlet Stokes operators using the theory of real interpolation. The results are not new,…
Robustness of Regularity for the D Convective Brinkman-Forchheimer Equations
Karol W. Hajduk, James C. Robinson, Witold Sadowski
We prove a robustness of regularity result for the D convective Brinkman-Forchheimer equations $$ \partial_tu -μΔu + (u \cdot \nabla)u + \nabla p + αu + β\abs{u}^{r - 1}u = f, $…
Energy equality for the 3D critical convective Brinkman-Forchheimer equations
Karol W. Hajduk, James C. Robinson
In this paper we give a simple proof of the existence of global-in-time smooth solutions for the convective Brinkman-Forchheimer equations (also called in the literature the tamed…