Asymptotic behavior of solutions to Euler–Poisson equations for bipolar hydrodynamic model of semiconductors

Donatella Donatelli, Ming Mei, Bruno Rubino, Rosella Sampalmieri

Type: Article

Publication Date: 2013-08-08

Citations: 40

DOI: https://doi.org/10.1016/j.jde.2013.07.027

View Publication

Locations

Journal of Differential Equations - View

Similar Works

Action	Title	Year	Authors
+	ASYMPTOTIC BEHAVIOR OF GLOBAL SMOOTH SOLUTIONS TO THE EULER-POISSON SYSTEM IN SEMICONDUCTORS	2002	Qiangchang Ju
+	Large-time behavior of solutions to the time-dependent damped bipolar Euler-Poisson system	2021	Qiwei Wu Junzhi Zheng Liping Luan
+ PDF Chat	Stability and <inline-formula><tex-math id="M1">\begin{document}$ L^{p}$\end{document}</tex-math></inline-formula> convergence rates of planar diffusion waves for three-dimensional bipolar Euler-Poisson systems	2018	Yeping Li Jie Liao
+	A note on asymptotic behavior of solutions for the one-dimensional bipolar Euler–Poisson system	2009	Pei-Yuan Meng Yeping Li
+ PDF Chat	Asymptotic behavior of solutions to the bipolar hydrodynamic model of semiconductors in bounded domain	2012	Ming Mei Bruno Rubino Rosella Sampalmieri
+	Asymptotic behavior of solutions to bipolar Euler–Poisson equations with time-dependent damping	2019	Haitong Li Jingyu Li Ming Mei Kai‐Jun Zhang
+	Long-time Behavior of Solutions to the Bipolar Hydrodynamic Model of Semiconductors with Boundary Effect	2012	Feimin Huang Ming Mei Yong Wang Tong Yang
+	On the Relaxation-time Limits in Bipolar Hydrodynamic Models for Semiconductors	2010	Jiang Xu Wen‐An Yong
+	Existence and asymptotic behavior of smooth solutions to bipolar hydrodynamic model	2017	Hongxia Guo Huimin Yu
+	Global existence and $L^{p}$ convergence rates of planar waves for three-dimensional bipolar Euler-Poisson systems	2015	Jie Liao Yeping Li
+	Global existence and asymptotic behavior of solutions to the nonisentropic bipolar hydrodynamic models	2010	Yeping Li
+ PDF Chat	Global existence and asymptotic behavior of smooth solutions for a bipolar Euler-Poisson system in the quarter plane	2012	Yeping Li
+	Asymptotic stability of stationary solutions to the compressible bipolar Navier–Stokes–Poisson equations	2017	Hong Cai Zhong Tan
+	Asymptotic convergence to planar stationary waves for multi-dimensional unipolar hydrodynamic model of semiconductors	2011	Feimin Huang Ming Mei Yong Wang Huimin Yu
+ PDF Chat	Large-time behavior of solutions to Cauchy problem for bipolar Euler–Poisson system with time-dependent damping in critical case	2021	Liping Luan Ming Mei Bruno Rubino Peicheng Zhu
+	Relaxation-time limit of the multidimensional bipolar hydrodynamic model in Besov space	2011	Yeping Li Ting Zhang
+	Large-time behavior of solutions to three-dimensional bipolar Euler–Poisson equations with time-dependent damping	2023	Qiwei Wu Peicheng Zhu
+ PDF Chat	Stability of stationary solutions to the compressible bipolar Euler-Poisson equations	2017	Hong Cai Zhong Tan
+	Smooth Transonic Steady States of Hydrodynamic Model for Semiconductors	2021	Mengmeng Wei Ming Mei Guojing Zhang Kai‐Jun Zhang
+	Large time behavior framework for the time-increasing weak solutions of bipolar hydrodynamic model of semiconductors	2017	Mengmeng Shang

Works That Cite This (39)

Action	Title	Year	Authors
+	Decay estimates of solutions to the bipolar compressible Euler–Poisson system in $$\pmb {\mathbb {R}^3}$$	2020	Leilei Tong Zhong Tan Qiuju Xu
+ PDF Chat	Large-time behavior of solutions to the bipolar quantum Euler-Poisson system with critical time-dependent over-damping	2022	Qiwei Wu
+	Large-time behavior of solutions to the time-dependent damped bipolar Euler-Poisson system	2021	Qiwei Wu Junzhi Zheng Liping Luan
+ PDF Chat	Analysis on the initial-boundary value problem of a full bipolar hydrodynamic model for semiconductors	2014	Haifeng Hu Kaijun Zhang
+	Relaxation limit in bipolar semiconductor hydrodynamic model with non-constant doping profile	2016	Haifeng Hu Mei Ming Kai‐Jun Zhang
+	Existence and asymptotic behavior of smooth solutions to bipolar hydrodynamic model	2017	Hongxia Guo Huimin Yu
+	Large time behavior of solutions to a bipolar hydrodynamic model with big data and vacuum	2016	Jing Li Huimin Yu
+	Subsonic and supersonic steady-states of bipolar hydrodynamic model of semiconductors with sonic boundary	2020	Pengcheng Mu Ming Mei Kai‐Jun Zhang
+	Stability of the stationary solution of the cauchy problem to a semiconductor full hydrodynamic model with recombination-generation rate	2014	Haifeng Hu Kaijun Zhang
+	Large time behaviors of solutions to the unipolar hydrodynamic model of semiconductors with physical boundary effect	2019	Hui Sun Ming Mei Kai‐Jun Zhang

Works Cited by This (32)

Action	Title	Year	Authors
+	Asymptotic stability of a stationary solution to a hydrodynamic model of semiconductors	2007	Shinya Nishibata Masahiro Suzuki
+	Large Time Behavior of the Solutions to a Hydrodynamic Model for Semiconductors	1998	Roberto Natalini Tao Luo Zhouping Xin
+	Long-time Behavior of Solutions to the Bipolar Hydrodynamic Model of Semiconductors with Boundary Effect	2012	Feimin Huang Ming Mei Yong Wang Tong Yang
+ PDF Chat	Convergence of the Godunov scheme for a simplified one-dimensional hydrodynamic model for semiconductor devices	1993	Bo Zhang
+	Nonlinear diffusion waves for hyperbolic p-system with nonlinear damping	2009	Ming Mei
+	Stability of Steady State Solutions for an Isentropic Hydrodynamic Model of Semiconductors of Two Species	2000	Chen Zhu Harumi Hattori
+	Asymptotic convergence to planar stationary waves for multi-dimensional unipolar hydrodynamic model of semiconductors	2011	Feimin Huang Ming Mei Yong Wang Huimin Yu
+	Global existence and asymptotic behavior of the solutions to the three-dimensional bipolar Euler–Poisson systems	2011	Yeping Li Xiongfeng Yang
+	Asymptotic Convergence to Stationary Waves for Unipolar Hydrodynamic Model of Semiconductors	2011	Feimin Huang Ming Mei Yong Wang Huimin Yu
+	THE GLOBAL WEAK SOLUTION AND RELAXATION LIMITS OF THE INITIAL–BOUNDARY VALUE PROBLEM TO THE BIPOLAR HYDRODYNAMIC MODEL FOR SEMICONDUCTORS	2000	Ling Hsiao Kaijun Zhang