Stability of travelling waves in stochastic Nagumo equations
Probability
2013-12-13 v2 Analysis of PDEs
Dynamical Systems
Abstract
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.
Keywords
Cite
@article{arxiv.1301.6378,
title = {Stability of travelling waves in stochastic Nagumo equations},
author = {Wilhelm Stannat},
journal= {arXiv preprint arXiv:1301.6378},
year = {2013}
}
Comments
Improved version including stochastic stability for all admissible parameters