LARGE-TIME BEHAVIOR OF SOLUTIONS TO CAUCHY PROBLEM FOR BIPOLAR EULER-POISSON SYSTEM WITH TIME-DEPENDENT DAMPING IN CRITICAL CASE

被引：0
|
作者：
Luan, Liping [1 ]
Mei, Ming [2 ,3 ]
Rubino, Bruno [4 ]
Zhu, Peicheng [5 ]
机构：
[1] Shanghai Univ, Mat Genome Inst, Shangda Rd 99, Shanghai 200444, Peoples R China
[2] Champlain Coll St Lambert, Dept Math, St Lambert, PQ J4P 3P2, Canada
[3] McGill Univ, Dept Math & Stat, Montreal, PQ H3A 2K6, Canada
[4] Univ Aquila, Dept Informat Engn Comp Sci & Math, I-67100 Laquila, Italy
[5] Shanghai Univ, Dept Math, Shangda Rd 99, Shanghai 200444, Peoples R China
来源：
COMMUNICATIONS IN MATHEMATICAL SCIENCES | 2021年 / 19卷 / 05期
关键词：
Euler-Poisson equations; Time-dependent damping; Time-weighted energy method; Asymptotic behavior; Global solutions; Cauchy problem; DIMENSIONAL HYDRODYNAMIC MODEL; NONLINEAR DIFFUSION WAVES; HYPERBOLIC CONSERVATION-LAWS; STEADY-STATE SOLUTIONS; ASYMPTOTIC-BEHAVIOR; GLOBAL EXISTENCE; SMOOTH SOLUTIONS; STATIONARY SOLUTIONS; P-SYSTEM; EQUATIONS;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper is concerned with the Cauchy problem of a bipolar hydrodynamic model for semiconductor device, a system of one dimensional Euler-Poisson equations with time-dependent damping effect in the critical case. The global existence and uniqueness of the solutions to the Cauchy problem are proved by the technical time-weighted energy method, when the initial perturbation around the constant states are small enough. Particularly, the algebraic time-convergence-rates for the solutions to their constant states are also derived.
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页码：1207 / 1231
页数：25
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