Piecewise linear approximation for the dynamical Phi(4)(3) model
文献类型：期刊论文
| 作者 | Zhu, Rongchan1,3; Zhu, Xiangchan1,2,4
|
| 刊名 | SCIENCE CHINA-MATHEMATICS
 |
| 出版日期 | 2020-02-01 |
| 卷号 | 63期号:2页码:381-410 |
| 关键词 | regularity structure space-time white noise stochastic partial differential equations renormalization |
| ISSN号 | 1674-7283 |
| DOI | 10.1007/s11425-017-9269-1 |
| 英文摘要 | 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. |
| 资助项目 | National Natural Science Foundation of China[11671035] ; National Natural Science Foundation of China[11771037] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000511922000007 |
| 出版者 | SCIENCE PRESS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/50795]  |
| 专题 | 应用数学研究所 |
| 通讯作者 | Zhu, Xiangchan |
| 作者单位 | 1.Univ Bielefeld, Dept Math, D-33615 Bielefeld, Germany 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 3.Beijing Inst Technol, Dept Math, Beijing 100081, Peoples R China 4.Beijing Jiaotong Univ, Sch Sci, Beijing 100044, 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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