Piecewise linear approximation for the dynamical Phi(4)(3) model

doi:10.1007/s11425-017-9269-1

CSpace > 应用数学研究所

	Piecewise linear approximation for the dynamical Phi(4)(3) model
	Zhu, Rongchan 1,2; Zhu, Xiangchan2,3,4
	2020-02-01
发表期刊	SCIENCE CHINA-MATHEMATICS
ISSN	1674-7283
卷号	63 期号:2 页码:381-410
摘要	We construct a piecewise linear approximation for the dynamical 43 model on T3. The approximation is based on the theory of regularity structures developed by Hairer (2014). They proved that renormalization in a dynamical 43 model is necessary for defining the nonlinear term. In contrast to Hairer (2014), we apply piecewise linear approximations to space-time white noise, and prove that the solutions of the approximating equations converge to the solution of the dynamical 43 model. In this case, the renormalization corresponds to multiplying the solution by a t-dependent function, and adding it to the approximating equation.
关键词	regularity structure space-time white noise stochastic partial differential equations renormalization
DOI	10.1007/s11425-017-9269-1
收录类别	SCI
语种	英语
资助项目	National Natural Science Foundation of China[11671035] ; National Natural Science Foundation of China[11771037]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000511922000007
出版者	SCIENCE PRESS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/50796
专题	应用数学研究所
通讯作者	Zhu, Xiangchan
作者单位	1.Beijing Inst Technol, Dept Math, Beijing 100081, Peoples R China 2.Univ Bielefeld, Dept Math, D-33615 Bielefeld, Germany 3.Beijing Jiaotong Univ, Sch Sci, Beijing 100044, Peoples R China 4.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Zhu, Rongchan,Zhu, Xiangchan. Piecewise linear approximation for the dynamical Phi(4)(3) model[J]. SCIENCE CHINA-MATHEMATICS,2020,63(2):381-410.
APA	Zhu, Rongchan,&Zhu, Xiangchan.(2020).Piecewise linear approximation for the dynamical Phi(4)(3) model.SCIENCE CHINA-MATHEMATICS,63(2),381-410.
MLA	Zhu, Rongchan,et al."Piecewise linear approximation for the dynamical Phi(4)(3) model".SCIENCE CHINA-MATHEMATICS 63.2(2020):381-410.