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