Dareiotis, K, Gess, B and Tsatsoulis, P (2020) Ergodicity for Stochastic Porous Media Equations with Multiplicative Noise. SIAM Journal on Mathematical Analysis, 52 (5). pp. 4524-4564. ISSN 0036-1410
Abstract
The long time behavior of solutions to stochastic porous media equations with nonlinear multiplicative noise on bounded domains with Dirichlet boundary data is studied. Based on weighted $L^{1}$-estimates, the existence and uniqueness of invariant measures with optimal bounds on the rate of mixing are proved. Along the way, the existence and uniqueness of entropy solutions are shown.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2020 Society for Industrial and Applied Mathematics. First Published in SIAM Journal on Mathematical Analysis in Volume 52, Issue 5, published by the Society for Industrial and Applied Mathematics (SIAM). Unauthorized reproduction of this article is prohibited. Reproduced in accordance with the publisher's self-archiving policy. |
Keywords: | Stochastic porous media, entropy solutions, invariant measures, optimal mixing rates |
Dates: |
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Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Mathematics (Leeds) > Statistics (Leeds) |
Depositing User: | Symplectic Publications |
Date Deposited: | 04 Jun 2020 15:34 |
Last Modified: | 15 Oct 2021 09:31 |
Status: | Published |
Publisher: | Society for Industrial and Applied Mathematics |
Identification Number: | 10.1137/19M1278521 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:161550 |