作者：刘环宇

学位名称：硕士

出处：北京理工大学

作者：阮碧琳

学位名称：硕士

出处：北京理工大学

作者：李一

学位名称：硕士

出处：北京理工大学

作者：Hofmanová, Martina;Zhu, Rongchan;Zhu, Xiangchan （¹Fakultät für Mathematik, Universität Bielefeld, Bielefeld; D-33501, Germany;²Department of Mathematics, Beijing Institute of Technology, Beijing; 100081, China;³Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing; 100190, China）

出处：arXiv 2022

摘要：We study the surface quasi-geostrophic equation with an irregular spatial perturbation (Equation presented), with ν ∈ [0, 1], γ ∈ [0, 3/2) and (Equati ...

作者：Wang, Zhenfu;Zhao, Xianliang;Zhu, Rongchan （¹Beijing International Center for Mathematical Research, Peking University, Beijing; 100871, China;²Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing; 100190, China;³Fakultät für Mathematik, Universität Bielefeld, Bielefeld; D-33501, Germany;⁴Department of Mathematics, Beijing Institute of Technology, Beijing; 100081, China）

出处：arXiv 2022

摘要：The mean-field limit of interacting diffusions without exchangeability, caused by weighted interactions and non-i.i.d. initial values, are investigate ...

作者：Baňas, L\'Ubomír¹;Yang, Huanyu²;Zhu, Rongchan^1,3; （¹Department of Mathematics, University of Bielefeld, Bielefeld, 33615, Germany;²Institute for Mathematics, Free University of Berlin, Berlin, 14195, Germany;³Department of Mathematics, Beijing Institute of Technology, Beijing, 100081, China）

出处：Potential Analysis 2022

关键词：MOTION;QUANTIZATION;CONVERGENCE;REGULARITY;UNIQUENESS

摘要：We study the sharp interface limit of the two dimensional stochastic Cahn-Hilliard equation driven by two types of singular noise: a space-time white ...

作者：Martina Hofmanová;|Rongchan Zhu;|Xiangchan Zhu （¹Fakultät für Mathematik, Universität Bielefeld, 33501, Bielefeld, Germany;²Department of Mathematics, Beijing Institute of Technology, 100081, Beijing, China;³Academy of Mathematics and Systems Science, Chinese Academy of Sciences, 100190, Beijing, China）

出处：Archive for Rational Mechanics and Analysis 2023

摘要：We establish that global-in-time existence and non-uniqueness of probabilistically strong solutions to the three dimensional Navier–Stokes system driv ...

作者：Zhenfu Wang¹;Xianliang Zhao^2,3;CA1;Rongchan Zhu^4,5; （¹Beijing International Center for Mathematical Research, Peking University, 100871, Beijing, China;²Academy of Mathematics and Systems Science, Chinese Academy of Sciences, 100190, Beijing, China;³Fakultät für Mathematik, Universität Bielefeld, 33501, Bielefeld, Germany;⁴Department of Mathematics, Beijing Institute of Technology, 100081, Beijing, China;⁵Key Laboratory on MCAACI, Beijing, China）

出处：Archive for Rational Mechanics and Analysis 2023

摘要：We consider the asymptotic behaviour of the fluctuations for the empirical measures of interacting particle systems with singular kernels. We prove th ...

作者：Ting Ma¹;1;Rongchan Zhu^2,3;CA2 （¹College of Mathematics, Sichuan University, Chengdu 610065, China;²Department of Mathematics, Beijing Institute of Technology, Beijing 100081, China;³Department of Mathematics, University of Bielefeld, D-33615 Bielefeld, Germany）

出处：Journal of Mathematical Analysis and Applications 2019

关键词：Wong–Zakai approximation;Local monotonicity;Coercivity;Support theorem

摘要：In this paper we present the Wong–Zakai approximation results for a class of nonlinear SPDEs with locally monotone coefficients and driven by multipli ...

作者：Shen, Hao¹; Zhu, Rongchan²; Zhu, Xiangchan³; （¹Department of Mathematics, University of Wisconsin, Madison, United States;²Department of Mathematics, Beijing Institute of Technology, Beijing; 100081, China;³Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing; 100190, China）

出处：arXiv 2022

摘要：We develop a new stochastic analysis approach to the lattice Yang–Mills model at strong coupling in any dimension d > 1, with t Hooft scaling βN for t ...