Stability of Travelling Waves on Exponentially Long Timescales in Stochastic Reaction-Diffusion Equations

25 Jun 2020 Hamster Christian Hupkes Hermen Jan

In this paper we establish the meta-stability of travelling waves for a class of reaction-diffusion equations forced by a multiplicative noise term. In particular, we show that the phase-tracking technique developed in [hamster2017,hamster2020] can be maintained over timescales that are exponentially long with respect to the noise intensity... (read more)

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