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math.AP2024
Singular Limits of Porous Media Equations with Bistable Reactions
Bendong Lou
We consider a porous media equation with balanced bistable reactions, equipped with some general nonlinear boundary condition. When the coefficient of the reaction term is much lar…
math.AP2024
Traveling Sharp Waves of Porous Media Equations in Spatially Periodic Environment
Bendong Lou
We consider one dimensional porous media equations in spatially periodic environment. We will construct a periodic traveling sharp wave whose profile tends to a positive steady sta…