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Asymptotics and stability of spiky steady states of the minimal chemotaxis model
澳门新葡8455最新网站:2013年07月02日 00:00 点击数:

报告人:王学锋

报告地点:澳门新葡8455最新网站615室

报告澳门新葡8455最新网站:2013年07月09日星期二16:00-17:00

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报告摘要:

Of concern is the fundamental "minimal" chemotaxis model. It is known that when the chemotaxis coefficient is large enough, the system has a monotone, spiky steady state. We obtain the asymptotics of the steady state when the chemotaxis coefficient goes to infinity; we then use this fine information about the structure of the spike to prove its stabillity. Techniques involved to achieve these goals are singular perturbation method, asymptotic analysis of a nonlocal eigenvalue problem and a homotopy trick that links the nonlocal eigenvalue problem to the linearized eigenvalue problem of the chemotaxis system.

主讲人概况:

美国Tulane大学数学教授,美国数学博士。

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