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

2 Citations (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

Access to Document

10.1214/20-EJP556

Cite this

@article{4afc44175af74dc6af8776d51d04cfa4,

title = "Large deviations for stochastic porous media equations",

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",

language = "English",

volume = "25",

pages = "1--42",

journal = "Electronic Journal of Probability",

issn = "1083-6489",

publisher = "Institute of Mathematical Statistics",

}

TY - JOUR

T1 - Large deviations for stochastic porous media equations

AU - Zhang, Rangrang

PY - 2020

Y1 - 2020

N2 - 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.

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

UR - https://www.scopus.com/pages/publications/85098872621

U2 - 10.1214/20-EJP556

DO - 10.1214/20-EJP556

M3 - Article

AN - SCOPUS:85098872621

SN - 1083-6489

VL - 25

SP - 1

EP - 42

JO - Electronic Journal of Probability

JF - Electronic Journal of Probability

M1 - 151

ER -

Large deviations for stochastic porous media equations

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this