Asymptotic stability of Stationary solutions to 3D incompressible flow in porous media with diffusion
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.
math.AP↗