Large deviations for stochastic porous media equations

Rangrang Zhang

doi:10.1214/20-EJP556

Large deviations for stochastic porous media equations

Rangrang Zhang^*

^*Corresponding author for this work

School of Mathematics and Statistics

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

In this paper, we establish the Freidlin-Wentzell type large deviation principle for porous medium-type equations perturbed by small multiplicative noise. The porous medium operator ∆(|u|^m−1u) is allowed. Our proof is based on weak convergence approach.

Original language	English
Article number	151
Pages (from-to)	1-42
Number of pages	42
Journal	Electronic Journal of Probability
Volume	25
DOIs	https://doi.org/10.1214/20-EJP556
Publication status	Published - 2020

Keywords

Kinetic solution
Large deviations
Porous media equations
Weak convergence approach

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10.1214/20-EJP556

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Zhang, R. (2020). Large deviations for stochastic porous media equations. Electronic Journal of Probability, 25, 1-42. Article 151. https://doi.org/10.1214/20-EJP556

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abstract = "In this paper, we establish the Freidlin-Wentzell type large deviation principle for porous medium-type equations perturbed by small multiplicative noise. The porous medium operator ∆(|u|m−1u) is allowed. Our proof is based on weak convergence approach.",

keywords = "Kinetic solution, Large deviations, Porous media equations, Weak convergence approach",

author = "Rangrang Zhang",

year = "2020",

doi = "10.1214/20-EJP556",

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AB - In this paper, we establish the Freidlin-Wentzell type large deviation principle for porous medium-type equations perturbed by small multiplicative noise. The porous medium operator ∆(|u|m−1u) is allowed. Our proof is based on weak convergence approach.

KW - Kinetic solution

KW - Large deviations

KW - Porous media equations

KW - Weak convergence approach

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Large deviations for stochastic porous media equations

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