仓储作者

[中文期刊] Long-wave instabilities

作者： Dongfen Bian¹;，Emmanuel Grenier²; （¹School of Mathematics and Statistics,Beijing Institute of Technology；²Unité de Mathématiques Pures et Appliquées,CNRS UMR 5669,école Normale Supérieure de Lyon）

出处： Science China(Mathematics) 2024 第67卷第8期 P1761-1776

摘要： This paper aims to give a detailed presentation of long-wave instabilities of shear layers for NavierStokes equations, and in particular to give a sim ...

[外文期刊] NLS approximation of the Euler-Poisson system for a cold ion-acoustic plasma SCIE

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 ...

[外文期刊] Long-wave instabilities SCIE

作者： Bian, Dongfen¹;Grenier, Emmanuel² （¹Beijing Inst Technol, Sch Math & Stat, Beijing 100081, Peoples R China.;²Ecole Normale Super Lyon, CNRS, UMR 5669, Unite Math Pures & Appl, F-69007 Lyon, France.）

出处： SCIENCE CHINA-MATHEMATICS 2024

关键词： NAVIER-STOKES EQUATION; ZERO VISCOSITY LIMIT; ANALYTIC SOLUTIONS; HALF-SPACE; STABILITY

摘要： This paper aims to give a detailed presentation of long-wave instabilities of shear layers for Navier-Stokes equations, and in particular to give a si ...

[外文期刊] Linear stability analysis of the Couette flow for the 2D Euler-Poisson system EI

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

[外文期刊] Instability of shear layers and Prandtls boundary layers EI

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

[外文期刊] Asymptotic behavior of solutions of the linearized Euler equations near a shear layer EI

作者： Bian, Dongfen¹; Grenier, Emmanuel² （¹School of Mathematics and Statistics, Beijing Institute of Technology, Beijing; 100081, China;²Unité de Mathématiques Pures et Appliquées, CNRS, UMR 5669, Ecole Normale Supérieure de Lyon, 46 allée d'Italie, Lyon; 69007, France）

出处： arXiv 2024

[外文期刊] Boundary layer expansions of the steady MHD equations in a bounded domain EI

作者： Bian, Dongfen¹; Si, Zhenjie¹ （¹School of Mathematics and Statistics, Beijing Institute of Technology, Beijing 100081, China Beijing Key Laboratory on MCAACI, Beijing Institute of Technology, Beijing 102488, China）

出处： arXiv 2024

[外文期刊] Singularities of Rayleigh equation EI

作者： Bian, Dongfen¹; Grenier, Emmanuel¹ （¹School of Mathematics and Statistics, Beijing Institute of Technology, Beijing; 100081, China）

出处： arXiv 2024

[外文期刊] Instabilities of shear layers EI

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

[外文期刊] Stability threshold for 2D shear flows of the Boussinesq system near Couette SCIE

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 ...