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math.AP2022★ 1 cited
Convergence of Solutions of the Porous Medium Equation with Reactions
Bendong Lou, Maolin Zhou
Consider the Cauchy problem of one dimensional porous medium equation (PME) with reactions. We first prove a general convergence result, that is, any bounded global solution starti…
math.AP2022★ 7 cited
Translating Solutions of a Generalized Mean Curvature Flow in a Cylinder: I. Constant Boundary Angles
Bendong Lou, Lixia Yuan
We study a generalized mean curvature flow involving a positive power of the mean curvature and a driving force. In this paper, we first construct all kinds of radially symmetric t…