Noise and Stability in Reaction-diffusion Equations
Probability
2020-02-18 v1
Abstract
We study the stability of reaction-diffusion equations in presence of noise. The relationship of stability of solutions between the stochastic ordinary different equations and the corresponding stochastic reaction-diffusion equation is firstly established. Then, by using the Lyapunov method, sufficient conditions for mean square and stochastic stability are given. The results show that the multiplicative noise can make the solution stable, but the additive noise will be not.
Cite
@article{arxiv.2002.06346,
title = {Noise and Stability in Reaction-diffusion Equations},
author = {Guangying Lv and Jinlong Wei and Guang-an Zou},
journal= {arXiv preprint arXiv:2002.06346},
year = {2020}
}
Comments
21 pages