作者： Huimin Liu¹;1;Dongfen Bian²;CA2;Xueke Pu³;3 （¹Faculty of Applied Mathematics, Shanxi University of Finance and Economics, Taiyuan 030006, PR China;²School of Mathematics and Statistics, Beijing Institute of Technology, Beijing 100081, PR China;³School of Mathematics and Information Sciences, Guangzhou University, Guangzhou 510006, PR China）

出处： Journal of Differential Equations 2024 Vol.379 P125-147

摘要： In the previous paper Liu and Pu (2019) [17], we proved the nonlinear Schrödinger (NLS) approximation for the Euler-Poisson system for a hot ion-acous ...

作者： Pu, Xueke¹; Zhou, Wenli¹; Bian, Dongfen² （¹School of Mathematics and Information Science, Guangzhou University, Guangzhou; 510006, China;²School of Mathematics and Statistics, Beijing Institute of Technology, Beijing; 100081, China）

出处： arXiv 2024

作者： Bian, Dongfen¹; Grenier, Emmanuel² （¹School of Mathematics and Statistics, Beijing Institute of Technology, Beijing, China;²UMPA, CNRS, UMR 5669, Ecole Normale Supérieure de Lyon, Lyon, France）

出处： arXiv 2024

作者： Bian, Dongfen¹; Grenier, Emmanuel² （¹Beijing Institute of Technology, School of Mathematics and Statistics, Beijing; 100081, China;²UMPA, CNRS UMR 5669, Ecole Normale Supérieure de Lyon, Lyon, France）

出处： arXiv 2023

作者： Bian, Dongfen¹;Pu, Xueke²; （¹ Beijing Inst Technol, Sch Math & Stat, Beijing 100081, Peoples R China. ;² Guangzhou Univ, Sch Math & Informat Sci, Guangzhou 510006, Peoples R China.）

出处： JOURNAL OF MATHEMATICAL PHYSICS 2022 Vol.63 No.8

关键词： ENHANCED DISSIPATION; SUPERPOSED STREAMS; EQUATIONS

摘要： In this paper, we consider the nonlinear stability for the shear flows of the Boussinesq system in a domain T x R. We prove the nonlinear stability of ...

作者： Bian, Dongfen¹;Mao, Jingjing¹;Pu, Xueke²; （¹School of Mathematics and Statistics, Beijing Institute of Technology, Beijing, 100081, China;²School of Mathematics and Information Science, Guangzhou University, Guangzhou, 510006, China）

出处： Communications on Pure and Applied Analysis 2022 Vol.21 No.10 P3441-3462

摘要： In this paper, we establish the nonlinear stability and large time behavior of hydrostatic equilibrium in a uniform magnetic field for the Boussinesq ...

作者： Bian, Dongfen¹; Pu, Xueke²; （¹School of Mathematics and Statistics, Beijing Institute of Technology, Beijing; 100081, China;²School of Mathematics and Information Science, Guangzhou University, Guangzhou; 510006, China）

出处： arXiv 2022

摘要： In this paper, we consider the stability threshold of the 2D shear flow (U(y), 0)Т of the Navier-Stokes equation at high Reynolds number Re. When the ...