Karol W. Hajduk

collaborators

2 papers

math.FA2021

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 $L^{2}$ Dirichlet Laplacian and Dirichlet Stokes operators using the theory of real interpolation. The results are not new,…

math.AP2019

Robustness of Regularity for the $3$ D Convective Brinkman-Forchheimer Equations

Karol W. Hajduk, James C. Robinson, Witold Sadowski

We prove a robustness of regularity result for the $3$ D convective Brinkman-Forchheimer equations $$ \partial_tu -μΔu + (u \cdot \nabla)u + \nabla p + αu + β\abs{u}^{r - 1}u = f, $…

Explicit characterisation of the fractional power spaces of the Dirichlet Laplacian and Stokes operators

Robustness of Regularity for the 3D Convective Brinkman-Forchheimer Equations

Robustness of Regularity for the $3$ D Convective Brinkman-Forchheimer Equations