Ergodicity for Stochastic Conservation Laws with Multiplicative Noise

Zhao Dong; Rangrang Zhang; Tusheng Zhang

doi:10.1007/s00220-022-04629-x

Ergodicity for Stochastic Conservation Laws with Multiplicative Noise

Zhao Dong
, Rangrang Zhang^*
, Tusheng Zhang

^*此作品的通讯作者

数学学院

CAS - Academy of Mathematics and System Sciences
University of Science and Technology of China

科研成果: 期刊稿件 › 文章 › 同行评审

3 引用（Scopus）

摘要

We proved that there exists a unique invariant measure for solutions of stochastic conservation laws with Dirichlet boundary condition driven by multiplicative noise. Moreover, a polynomial mixing property is established. This is done in the setting of kinetic solutions taking values in an L¹-weighted space.

源语言	英语
页（从-至）	1739-1789
页数	51
期刊	Communications in Mathematical Physics
卷	400
期	3
DOI	https://doi.org/10.1007/s00220-022-04629-x
出版状态	已出版 - 6月 2023

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title = "Ergodicity for Stochastic Conservation Laws with Multiplicative Noise",

abstract = "We proved that there exists a unique invariant measure for solutions of stochastic conservation laws with Dirichlet boundary condition driven by multiplicative noise. Moreover, a polynomial mixing property is established. This is done in the setting of kinetic solutions taking values in an L1-weighted space.",

author = "Zhao Dong and Rangrang Zhang and Tusheng Zhang",

note = "Publisher Copyright: {\textcopyright} 2023, The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature.",

year = "2023",

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doi = "10.1007/s00220-022-04629-x",

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AB - We proved that there exists a unique invariant measure for solutions of stochastic conservation laws with Dirichlet boundary condition driven by multiplicative noise. Moreover, a polynomial mixing property is established. This is done in the setting of kinetic solutions taking values in an L1-weighted space.

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Ergodicity for Stochastic Conservation Laws with Multiplicative Noise

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