Delayed blow-up by transport noise
Probability
2021-12-08 v2 Analysis of PDEs
Abstract
For some deterministic nonlinear PDEs on the torus whose solutions may blow up in finite time, we show that, under suitable conditions on the nonlinear term, the blow-up is delayed by multiplicative noise of transport type in a certain scaling limit. The main result is applied to the 3D Keller-Segel, 3D Fisher-KPP and 2D Kuramoto-Sivashinsky equations, yielding long-time existence for large initial data with high probability.
Cite
@article{arxiv.2009.13005,
title = {Delayed blow-up by transport noise},
author = {Franco Flandoli and Lucio Galeati and Dejun Luo},
journal= {arXiv preprint arXiv:2009.13005},
year = {2021}
}
Comments
30 pages