Xing Liang

most citedSpreading in space-time periodic media governed by a monostable equation with free boundaries, Part 2: Spreading speed

3 citations · 8 across the 5 of their papers we have counts for

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math.AP2016★ 1 cited

Semi-Wave Solutions of KPP-Fisher Equations with Free Boundaries in Spatially Almost Periodic Media

Xing Liang

In this paper we prove the existence and uniqueness of the almost periodic semi- wave (traveling wave) solutions of KPP-Fisher equations with free boundaries in spatially almost pe…

math.AP2016★ 2 cited

Spreading in space-time periodic media governed by a monostable equation with free boundaries, Part 1: Continuous initial functions

Weiwei Ding, Yihong Du, Xing Liang

We aim to classify the long-time behavior of the solution to a free boundary problem with monostable reaction term in space-time periodic media. Such a model may be used to describ…

math.AP2016★ 3 cited

Spreading in space-time periodic media governed by a monostable equation with free boundaries, Part 2: Spreading speed

Weiwei Ding, Yihong Du, Xing Liang

This is Part 2 of our work aimed at classifying the long-time behavior of the solution to a free boundary problem with monostable reaction term in space-time periodic media. In Par…

math.AP2010

A variational problem associated with the minimal speed of travelling waves for spatially periodic reaction-diffusion equations

Xing Liang, Xiaotao Lin, Hiroshi Matano

We consider the equation $u_{t} = u_{xx} + b (x) u (1 - u),$ $x \in R,$ where $b (x)$ is a nonnegative measure on $R$ that is periodic in $x .$ In the case where $b (x)$ is a smoot…

math.AP2010★ 2 cited

Maximizing the spreading speed of KPP fronts in two-dimensional stratified media

Xing Liang, Xiaotao Lin, Hiroshi Matano

We consider the equation $u_{t} = u_{xx} + u_{y y} + b (x) f (u) + g (u)$ , $(x, y) \in R^{2}$ with monostable nonliearity, where $b (x)$ is a nonnegative measure on $R$ that is periodic…