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

共 50 条

[21] Large time behavior of the Euler-Poisson system coupled to a magnetic field
Chen, Yingying
Huang, Lan
Yang, Jianwei
AIMS MATHEMATICS, 2023, 8 (05): : 11460 - 11479
[22] The global existence and large time behavior of solutions to the multidimensional Euler-Poisson equations
Hsiao, L
Ju, QC
Wang, S
HYPERBOLIC PROBLEMS: THEORY, NUMERICS, APPLICATIONS, 2003, : 599 - 609
[23] Large-time behavior of solutions to the multi-dimensional Euler equations with damping
Wang, D
HYPERBOLIC PROBLEMS: THEORY, NUMERICS, APPLICATIONS, 2003, : 919 - 928
[24] UNIPOLAR EULER-POISSON EQUATIONS WITH TIME-DEPENDENT DAMPING: BLOW-UP AND GLOBAL EXISTENCE
Xu, Jianing
Chen, Shaohua
Mei, Ming
Qin, Yuming
COMMUNICATIONS IN MATHEMATICAL SCIENCES, 2024, 22 (01) : 181 - 214
[25] Large-time behavior of solutions to the bipolar quantum Navier–Stokes–Poisson equations
Qiwei Wu
Zeitschrift für angewandte Mathematik und Physik, 2022, 73
[26] Suppression of singularities of solutions of the Euler-Poisson system with density-dependent damping
Rozanova, Olga S.
PHYSICA D-NONLINEAR PHENOMENA, 2022, 429
[27] Threshold phenomenon in n-dimensional repulsive restricted Euler-Poisson equations with time-dependent damping
Liu, Jianli
Zhang, Kenan
JOURNAL OF MATHEMATICAL PHYSICS, 2022, 63 (12)
[28] Large-time behavior of solutions to the bipolar quantum Navier-Stokes-Poisson equations
Wu, Qiwei
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2022, 73 (05):
[29] ASYMPTOTIC BEHAVIOR OF SOLUTIONS TO THE EULER-KORTEWEG EQUATIONS WITH TIME-DEPENDENT DAMPING
Xu, Rui
LI, Yeping
Wu, Qiwei
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2022, : 3507 - 3536
[30] Global existence and asymptotic behavior of solutions to the Euler equations with time-dependent damping
Pan, Xinghong
APPLICABLE ANALYSIS, 2021, 100 (16) : 3546 - 3575

← 1 2 3 4 5 →