吴文俊数学重点实验室动力系统系列讲座之十九

报 告 人：吴启亮        
University of Minnesoda, USA

报告题目：Diffusive stability of Turing patterns via normal forms
 
报告时间：12月25日（周二） 下午4:00-5:00

报告地点：管理科研楼1518室

摘要：We investigate dynamics near Turing patterns in reaction-diffusion systems posed on the real
line. Linear analysis predicts diffusive decay of small perturbations. We construct a "normal form"
coordinate system near such Turing patterns. The key ingredients to the normal form
is a conjugation of the reaction-diffusion system on the real line to a lattice dynamical system.
At each lattice site, we decompose perturbations into neutral phase shifts and normal
decaying components. As an application of our normal form construction,
we prove nonlinear stability of Turing patterns with respect to perturbations that are small in
L^1/cap L^/infty, with sharp rates.

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          中科院吴文俊数学重点实验室

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