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

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：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 ...

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

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 ...