217 citations · 288 across the 24 of their papers we have counts for
24 papers
Regularity of Solutions to One-Dimensional Degenerate Diffusion Equations with Reactions
Bendong Lou, Junfan Lu
We study the one-dimensional reaction-diffusion equation \[ u_t=[A(u)]_{xx}+f(x,u). \] The diffusion operator belongs to a broad class of nonlinear degenerate diffusion operators t…
Fife-McLeod's Theorem for Spatially Periodic Degenerate Diffusion Equations
Bendong Lou, Junfan Lu
For one dimensional homogeneous bistable diffusion equations, Fife-McLeod ([Arch. Ration. Mech. Anal., 65 (1977), 335-361]) gave a well-known theorem which says that spreading solu…
Asymptotic Behavior of Solutions of a Degenerate Diffusion Equation with a Multistable Reaction
Fang Li, Bendong Lou
We consider a generalized degenerate diffusion equation with a reaction term , where is a smooth function satisfying and $A(u),\ A'(u),\ A'…
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…
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…
Dimension-Dependent Asymptotic Dynamics for Mean Curvature Flow with Robin Boundary Conditions
Xinfu Chen, Bendong Lou, Xiaoliu Wang +1
We consider a graphical mean curvature flow in a cylinder with Robin boundary conditions, which arises as a geometric model for interface motion in the singular limit of the Allen-…