Jingjing Cai

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

37 citations · 37 across the 2 of their papers we have counts for

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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 $…