Weak Universality of the Dynamical Phi(4)(3) Model on the Whole Space

doi:10.1007/s11118-021-09941-0

CSpace > 应用数学研究所

	Weak Universality of the Dynamical Phi(4)(3) Model on the Whole Space
	Zhu, Rongchan 1; Zhu, Xiangchan2
	2021-11-26
Source Publication	POTENTIAL ANALYSIS
ISSN	0926-2601
Pages	36
Abstract	We prove that the large scale behavior of a class of stochastic weakly nonlinear reactiondiffusion models on R-3 converges to the dynamical Phi(4)(3) 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 Hofmanova (Commun. Math. Phys. 368, 1201-1266, 2019).
Keyword	Phi(4)(3) model Paracontrolled distributions Weak universality Space-time white noise Renormalisation
DOI	10.1007/s11118-021-09941-0
Indexed By	SCI
Language	英语
Funding Project	National Key R&D Program of China[2020YFA0712700] ; NSFC[11771037] ; NSFC[12090014] ; NSFC[11688101] ; NSFC[11922103] ; key Lab of Random Complex Structures
WOS Research Area	Mathematics
WOS Subject	Mathematics
WOS ID	WOS:000722816000001
Publisher	SPRINGER
Citation statistics
Document Type	期刊论文
Identifier	http://ir.amss.ac.cn/handle/2S8OKBNM/59629
Collection	应用数学研究所
Corresponding Author	Zhu, Xiangchan
Affiliation	1.Beijing Inst Technol, Dept Math, Beijing 100081, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
Recommended Citation GB/T 7714	Zhu, Rongchan,Zhu, Xiangchan. Weak Universality of the Dynamical Phi(4)(3) Model on the Whole Space[J]. POTENTIAL ANALYSIS,2021:36.
APA	Zhu, Rongchan,&Zhu, Xiangchan.(2021).Weak Universality of the Dynamical Phi(4)(3) Model on the Whole Space.POTENTIAL ANALYSIS,36.
MLA	Zhu, Rongchan,et al."Weak Universality of the Dynamical Phi(4)(3) Model on the Whole Space".POTENTIAL ANALYSIS (2021):36.

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