71 citations · 79 across the 4 of their papers we have counts for
3 papers · 1 filter
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…
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…