Bendong Lou

activity

20142024

most citedAsymptotic behavior of solutions of a reaction diffusion equation with free boundary conditions

37 citations · 47 across the 4 of their papers we have counts for

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4 papers · 1 filter

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.AP2015★ 2 cited

Nonlinear diffusion problems with free boundaries: Convergence, transition speed and zero number arguments,

Yihong Du, Bendong Lou, Maolin Zhou

This paper continues the investigation of Du and Lou (J. European Math Soc, to appear), where the long-time behavior of positive solutions to a nonlinear diffusion equation of the…

math.AP2015★ 8 cited

Long time behavior of solutions of Fisher-KPP equation with advection and free boundaries

Hong Gu, Bendong Lou, Maolin Zhou

We consider Fisher-KPP equation with advection: $u_{t} = u_{xx} - β u_{x} + f (u)$ for $x \in (g (t), h (t))$ , where $g (t)$ and $h (t)$ are two free boundaries satisfying Stefan conditions. This eq…

math.AP2014★ 37 cited

Asymptotic behavior of solutions of a reaction diffusion equation with free boundary conditions

Jingjing Cai, Bendong Lou, Maolin Zhou

We study a nonlinear diffusion equation of the form $u_{t} = u_{xx} + f (u) (x \in [g (t), h (t)])$ with free boundary conditions $g^{'} (t) = - u_{x} (t, g (t)) + α$ and $h^{'} (t) = - u_{x} (t, g (t)) - α$ for some $…