Dirr, Nicolas, Grillmeier, Hubertus and Grün, Guenther
2020.
On stochastic porous-medium equations with critical-growth conservative multiplicative noise.
Discrete and Continuous Dynamical Systems - Series A
10.3934/dcds.2020388
Item availability restricted. |
![]() |
PDF
- Accepted Post-Print Version
Restricted to Repository staff only until 18 December 2021 due to copyright restrictions. Download (910kB) |
Official URL: http://dx.doi.org/10.3934/dcds.2020388
Abstract
First, we prove existence, nonnegativity, and pathwise uniqueness of martingale solutions to stochastic porous-medium equations driven by conservative multiplicative power-law noise in the Ito-sense. We rely on an energy approach based on finite-element discretization in space, homogeneity arguments and stochastic compactness. Secondly, we use Monte-Carlo simulations to investigate the impact noise has on waiting times and on free-boundary propagation. We find strong evidence that noise on average significantly accelerates propagation and reduces the size of waiting times – changing in particular scaling laws for the size of waiting times.
Item Type: | Article |
---|---|
Status: | In Press |
Schools: | Mathematics |
Publisher: | American Institute of Mathematical Sciences (AIMS) |
ISSN: | 1078-0947 |
Funders: | EPSRC |
Date of First Compliant Deposit: | 10 November 2020 |
Date of Acceptance: | 31 August 2020 |
Last Modified: | 02 Feb 2021 11:41 |
URI: | http://orca.cf.ac.uk/id/eprint/136250 |
Actions (repository staff only)
![]() |
Edit Item |