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Classical solutions of the Dirichlet problem for the Darcy-Forchheimer-Brinkman system

*Corresponding author: Dagmar Medková medkova@math.cas.cz

Math2019,6,1540doi:10.3934/math.2019.6.1540

We study solutions of the Dirichlet problem for the Brinkman system and for the DarcyForchheimer-Brinkman system in the spaces of functions ${\mathcal C}^{k,\alpha }(\overline \Omega ;{\mathbb R}^m)\times {\mathcal C}^{k-1,\alpha } (\overline \Omega )$, where $\Omega \subset {\mathbb R}^m$ is a bounded domain.