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.

引用

页码：1207 / 1231

页数：25

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