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arXiv · 2606.29505

Asymptotic stability of Stationary solutions to 3D incompressible flow in porous media with diffusion

Juan Sebastián Ángel Echeverry
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Abstract

Under appropiate hypotheses on the external force acting on an incompressible flow diffusing through a porous medium, we show that there is a unique stationary solution to the diffusive porous media equation. Moreover, we show that this solution is asymptotically stable and estimate the decay rate of any perturbation towards this steady state.

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Juan Sebastián Ángel Echeverry. 2026-06-28. Asymptotic stability of Stationary solutions to 3D incompressible flow in porous media with diffusion. https://arxiv.org/abs/2606.29505

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