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April 17, 2026Zeitschrift für angewandte Mathematik und PhysikOpen Access

Mixed Dirichlet–Robin problem for coupled anisotropic Navier–Stokes-type systems

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Authors

AGAndrei Gasparovici

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Overview

Analyzes mixed Dirichlet-Robin problems for anisotropic Darcy-Brinkman systems, suggesting important implications for fluid dynamics.

Key Points

  • The research aims to analyze mixed Dirichlet-Robin boundary problems for anisotropic fluid flow in porous mediums.
  • Utilized a variational approach combined with fixed-point techniques.
  • Established existence and uniqueness of weak solutions in L2 Sobolev spaces.
  • Conducted numerical simulations of the lid-driven flow problem with a solid circular obstacle.
  • Demonstrated weak solutions exist under smallness conditions for the boundary value problems.
  • Investigated flow behavior variations based on physical parameters within a porous cavity.

Cite This Study

Andrei Gasparovici (2026) studied this question.

synapsesocial.com/papers/69e1cfb15cdc762e9d858aeehttps://doi.org/10.1007/s00033-026-02776-y
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