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arXiv · 1404.3853

Stability of travelling waves in stochastic bistable reaction-diffusion equations

Wilhelm Stannat
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Abstract

We extend the result on the stability of travelling waves for stochastic Nagumo equations in [St] to general bistable reaction-diffusion equations with both additive and multiplicative noise, using a variational approach based on functional inequalities. Our analysis yields explicit estimates on the rate of stability that can be shown in special examples to be optimal. [St] Stannat, W., Stability of travelling waves in stochastic Nagumo equations, arXiv:1301.6378, 2013.

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Wilhelm Stannat. 2014-04-30. Stability of travelling waves in stochastic bistable reaction-diffusion equations. https://arxiv.org/abs/1404.3853

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