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The research aims to solve the Dirichlet problem for the Brinkman system in unbounded domains with specific boundary conditions.

The Dirichlet problem for the Brinkman system in exterior domains

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The research aims to solve the Dirichlet problem for the Brinkman system in unbounded domains with specific boundary conditions.
Utilization of integral equation method.
Analysis within Sobolev spaces and homogeneous Sobolev spaces.
Study of volume and boundary layer potentials.
Proven existence of solutions for the Dirichlet problem in specified function spaces.
Establishment of analogous results for the Darcy–Forchheimer–Brinkman system.

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Analysis demonstrates solution existence for Dirichlet problem in unbounded domains, implying new insights into fluid dynamics.

Dagmar Medková (2026) studied this question.

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