Stability of travelling waves in stochastic Nagumo equations

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• Stannat, W (Technische Universitt Berlin)
• Monday 10 September 2012, 12:00-12:50
• Seminar Room 1, Newton Institute.

If you have a question about this talk, please contact Mustapha Amrani.

Stochastic Partial Differential Equations (SPDEs)

Stability of travelling waves for the Nagumo equation on the whole line is proven using a new approach via functional inequalities and an implicitely defined phase adaption. The approach can be carried over to obtain pathwise stability of travelling wave solutions in the case of the stochastic Nagumo equation as well. The noise term considered is of multiplicative type with variance proportional to the distance of the solution to the orbit of the travelling wave solutions.

This talk is part of the Isaac Newton Institute Seminar Series series.

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