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Irreducibility and Asymptotics of Stochastic Burgers Equation Driven by α-stable Processes

Zhao Dong, Feng-yu Wang Orcid Logo, Lihu Xu

Potential Analysis

Swansea University Author: Feng-yu Wang Orcid Logo

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DOI (Published version): 10.1007/s11118-018-9736-0

Abstract

The irreducibility, moderate deviation principle and $\psi$-uniformly exponential ergodicity with $\psi(x):=1+\|x\|_0$ are proved for stochastic Burgers equation driven by the $\aa$-stable processes for $\aa\in (1,2),$ where the first two are new for the present model, and the last strengthens the e...

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Published in: Potential Analysis
ISSN: 0926-2601 1572-929X
Published: 2018
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URI: https://cronfa.swan.ac.uk/Record/cronfa43555
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first_indexed 2018-08-24T04:53:03Z
last_indexed 2018-10-19T19:14:16Z
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spelling 2018-10-19T13:52:11.5113214 v2 43555 2018-08-24 Irreducibility and Asymptotics of Stochastic Burgers Equation Driven by α-stable Processes 6734caa6d9a388bd3bd8eb0a1131d0de 0000-0003-0950-1672 Feng-yu Wang Feng-yu Wang true false 2018-08-24 SMA The irreducibility, moderate deviation principle and $\psi$-uniformly exponential ergodicity with $\psi(x):=1+\|x\|_0$ are proved for stochastic Burgers equation driven by the $\aa$-stable processes for $\aa\in (1,2),$ where the first two are new for the present model, and the last strengthens the exponential ergodicity under total variational norm derived in \cite{Do-Xu-Zh-14}. Journal Article Potential Analysis 0926-2601 1572-929X 30 9 2018 2018-09-30 10.1007/s11118-018-9736-0 COLLEGE NANME Mathematics COLLEGE CODE SMA Swansea University 2018-10-19T13:52:11.5113214 2018-08-24T04:17:46.4846821 Faculty of Science and Engineering School of Mathematics and Computer Science - Mathematics Zhao Dong 1 Feng-yu Wang 0000-0003-0950-1672 2 Lihu Xu 3 0043555-24082018042005.pdf 18DWX.pdf 2018-08-24T04:20:05.0770000 Output 361324 application/pdf Accepted Manuscript true 2019-09-27T00:00:00.0000000 true eng
title Irreducibility and Asymptotics of Stochastic Burgers Equation Driven by α-stable Processes
spellingShingle Irreducibility and Asymptotics of Stochastic Burgers Equation Driven by α-stable Processes
Feng-yu Wang
title_short Irreducibility and Asymptotics of Stochastic Burgers Equation Driven by α-stable Processes
title_full Irreducibility and Asymptotics of Stochastic Burgers Equation Driven by α-stable Processes
title_fullStr Irreducibility and Asymptotics of Stochastic Burgers Equation Driven by α-stable Processes
title_full_unstemmed Irreducibility and Asymptotics of Stochastic Burgers Equation Driven by α-stable Processes
title_sort Irreducibility and Asymptotics of Stochastic Burgers Equation Driven by α-stable Processes
author_id_str_mv 6734caa6d9a388bd3bd8eb0a1131d0de
author_id_fullname_str_mv 6734caa6d9a388bd3bd8eb0a1131d0de_***_Feng-yu Wang
author Feng-yu Wang
author2 Zhao Dong
Feng-yu Wang
Lihu Xu
format Journal article
container_title Potential Analysis
publishDate 2018
institution Swansea University
issn 0926-2601
1572-929X
doi_str_mv 10.1007/s11118-018-9736-0
college_str Faculty of Science and Engineering
hierarchytype
hierarchy_top_id facultyofscienceandengineering
hierarchy_top_title Faculty of Science and Engineering
hierarchy_parent_id facultyofscienceandengineering
hierarchy_parent_title Faculty of Science and Engineering
department_str School of Mathematics and Computer Science - Mathematics{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Mathematics and Computer Science - Mathematics
document_store_str 1
active_str 0
description The irreducibility, moderate deviation principle and $\psi$-uniformly exponential ergodicity with $\psi(x):=1+\|x\|_0$ are proved for stochastic Burgers equation driven by the $\aa$-stable processes for $\aa\in (1,2),$ where the first two are new for the present model, and the last strengthens the exponential ergodicity under total variational norm derived in \cite{Do-Xu-Zh-14}.
published_date 2018-09-30T03:54:47Z
_version_ 1763752738903031808
score 11.013148

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