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Sharp stability and instability of stratified steady states for the incompressible porous media equation
We study the stability and instability of stratified steady states $ρ_s=ρ_s(y)$ for the two-dimensional incompressible porous media equation on $\mathbb{T}\times(-1,1)$ and $\mathbb{T}\times\mathbb{R}$. On the periodic channel, uniformly decreasing steady states satisfying natural boundary-compatibi
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