数学季刊 >

2021 , Vol. 36 >Issue 1: 67 - 78

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2021.01.005

具有非线性阻尼和源项的波动方程系统的空间渐近性质

展开
  • Department of Apllied Mathematics, Huashang College Guangdong University of Finance & Economics,
LI Yuan-fei (1982-), male, native of Guangdong, Guangzhou, distinguished professor of Huashang College Guangdong University of Finance & Economics, engages in partial differential equation.

收稿日期: 2020-11-26

  网络出版日期: 2021-03-30

基金资助

Supported by Innovation Team Project of Humanities and Social Sciences in Colleges and
Universities of Guangdong Province (Grant No. 2020WCXTD008); Natural Sciences Key Projects of Universities
in Guangdong Province (Grant No. 2019KZDXM042).

收起

Spatial Asymptotic Properties of a System Wave Equations with Nonlinear Damping and Source Terms

Expand
  • Department of Apllied Mathematics, Huashang College Guangdong University of Finance & Economics,
LI Yuan-fei (1982-), male, native of Guangdong, Guangzhou, distinguished professor of Huashang College Guangdong University of Finance & Economics, engages in partial differential equation.

Received date: 2020-11-26

  Online published: 2021-03-30

Supported by

Supported by Innovation Team Project of Humanities and Social Sciences in Colleges and
Universities of Guangdong Province (Grant No. 2020WCXTD008); Natural Sciences Key Projects of Universities
in Guangdong Province (Grant No. 2019KZDXM042).

Fold

摘要

In this paper, the wave equation defined in a semi-infinite cylinder is considered,
in which the nonlinear damping and source terms is included. By setting an arbitrary
parameter greater than zero in the energy expression, the fast growth rate or decay rate
of the solution with spatial variables is obtained by using energy analysis method and
differential inequality technique. Secondly, we obtain the asymptotic behavior of the
solution on the external domain of the sphere. In addition, in this paper we also give
some useful remarks which show that our results can be extended to more models.

关键词： Wave equation; Energy analysis; Semi-infinite cylinder; Spatial asymptotic properties

本文引用格式

李远飞 . 具有非线性阻尼和源项的波动方程系统的空间渐近性质[J]. 数学季刊, 2021 , 36(1) : 67 -78 . DOI: 10.13371/j.cnki.chin.q.j.m.2021.01.005

Abstract

In this paper, the wave equation defined in a semi-infinite cylinder is considered,
in which the nonlinear damping and source terms is included. By setting an arbitrary
parameter greater than zero in the energy expression, the fast growth rate or decay rate
of the solution with spatial variables is obtained by using energy analysis method and
differential inequality technique. Secondly, we obtain the asymptotic behavior of the
solution on the external domain of the sphere. In addition, in this paper we also give
some useful remarks which show that our results can be extended to more models.

Key words： Wave equation; Energy analysis; Semi-infinite cylinder; Spatial asymptotic properties

Options
文章导航

/

〈 〉

版权所有 © 《数学季刊》编辑部
地址：河南省开封市明伦街85号河南大学数学季刊编辑部
电话：0371-23881698　E-mail: sxjk@henu.edu.cn　QQ: 2454327236
本系统由北京玛格泰克科技发展有限公司设计开发　技术支持：support@magtech.com.cn