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

Institute of Mathematics of the Czech Academy of Sciences, Žitná 25, 115 67 Praha 1, Czech Republic

Special Issues: Initial and Boundary Value Problems for Differential Equations

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.
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Keywords Brinkman system; Darcy-Forchheimer-Brinkman system; Dirichlet problem; classical solution; regularity

Citation: Dagmar Medková. Classical solutions of the Dirichlet problem for the Darcy-Forchheimer-Brinkman system. AIMS Mathematics, 2019, 4(6): 1540-1553. doi: 10.3934/math.2019.6.1540

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