Weak Universality of the Dynamical Φ34 Model on the Whole Space

Rongchan Zhu; Xiangchan Zhu

doi:10.1007/s11118-021-09941-0

Weak Universality of the Dynamical Φ34 Model on the Whole Space

Rongchan Zhu
, Xiangchan Zhu^*

^*此作品的通讯作者

数学学院

CAS - Academy of Mathematics and System Sciences

科研成果: 期刊稿件 › 文章 › 同行评审

1 引用（Scopus）

摘要

We prove that the large scale behavior of a class of stochastic weakly nonlinear reaction-diffusion models on ℝ³ converges to the dynamical Φ34 model using paracontrolled distributions on weighted Besov spaces. Our approach depends on the delicate choice of the weight, the localization operator technique and a modified version of the maximum principle from Gubinelli and Hofmanová (Commun. Math. Phys. 368, 1201–1266, 5).

源语言	英语
页（从-至）	295-330
页数	36
期刊	Potential Analysis
卷	58
期	2
DOI	https://doi.org/10.1007/s11118-021-09941-0
出版状态	已出版 - 2月 2023

访问文件

10.1007/s11118-021-09941-0

其它文件与链接

链接到 Scopus 的出版物

引用此

@article{61876c525bd84ae5b6f844f056d78e43,

title = "Weak Universality of the Dynamical Φ34 Model on the Whole Space",

abstract = "We prove that the large scale behavior of a class of stochastic weakly nonlinear reaction-diffusion models on ℝ3 converges to the dynamical Φ34 model using paracontrolled distributions on weighted Besov spaces. Our approach depends on the delicate choice of the weight, the localization operator technique and a modified version of the maximum principle from Gubinelli and Hofmanov{\'a} (Commun. Math. Phys. 368, 1201–1266, 5).",

keywords = "Paracontrolled distributions, Renormalisation, Space-time white noise, Weak universality, Φ model",

author = "Rongchan Zhu and Xiangchan Zhu",

note = "Publisher Copyright: {\textcopyright} 2021, The Author(s), under exclusive licence to Springer Nature B.V.",

year = "2023",

month = feb,

doi = "10.1007/s11118-021-09941-0",

language = "English",

volume = "58",

pages = "295--330",

journal = "Potential Analysis",

issn = "0926-2601",

publisher = "Springer Netherlands",

number = "2",

}

TY - JOUR

T1 - Weak Universality of the Dynamical Φ34 Model on the Whole Space

AU - Zhu, Rongchan

AU - Zhu, Xiangchan

PY - 2023/2

Y1 - 2023/2

N2 - We prove that the large scale behavior of a class of stochastic weakly nonlinear reaction-diffusion models on ℝ3 converges to the dynamical Φ34 model using paracontrolled distributions on weighted Besov spaces. Our approach depends on the delicate choice of the weight, the localization operator technique and a modified version of the maximum principle from Gubinelli and Hofmanová (Commun. Math. Phys. 368, 1201–1266, 5).

AB - We prove that the large scale behavior of a class of stochastic weakly nonlinear reaction-diffusion models on ℝ3 converges to the dynamical Φ34 model using paracontrolled distributions on weighted Besov spaces. Our approach depends on the delicate choice of the weight, the localization operator technique and a modified version of the maximum principle from Gubinelli and Hofmanová (Commun. Math. Phys. 368, 1201–1266, 5).

KW - Paracontrolled distributions

KW - Renormalisation

KW - Space-time white noise

KW - Weak universality

KW - Φ model

UR - https://www.scopus.com/pages/publications/85120003299

U2 - 10.1007/s11118-021-09941-0

DO - 10.1007/s11118-021-09941-0

M3 - Article

AN - SCOPUS:85120003299

SN - 0926-2601

VL - 58

SP - 295

EP - 330

JO - Potential Analysis

JF - Potential Analysis

IS - 2

ER -

Weak Universality of the Dynamical Φ34 Model on the Whole Space

摘要

访问文件

其它文件与链接

指纹

引用此