Weak well-posedness for the two component Degasperis-Procesi system

CHEN Lina; GUAN Chunxia; FENG Zhaoyong; LIU Chengxia

doi:10.13471/j.cnki.acta.snus.2019.01.016

您当前的位置：

首页 >

文章列表页 >

Weak well-posedness for the two component Degasperis-Procesi system

更新时间：2023-12-11

- Weak well-posedness for the two component Degasperis-Procesi system
- Acta Scientiarum Naturalium Universitatis SunYatseni Vol. 58, Issue 1, Pages: 131-137(2019)
- 作者机构：
  
  1. 广东工业大学应用数学学院,广东,广州,510520
  2. 
  3. 中山大学数学学院,广东,广州,510275
- 作者简介：
- 基金信息：
- DOI：10.13471/j.cnki.acta.snus.2019.01.016
  CLC：
- Published：2019，
  
  Published Online：25 January 2019，
扫描看全文
CHEN Lina, GUAN Chunxia, FENG Zhaoyong, et al. Weak well-posedness for the two component Degasperis-Procesi system. [J]. Acta Scientiarum Naturalium Universitatis SunYatseni 58(1):131-137(2019)
DOI：

CHEN Lina, GUAN Chunxia, FENG Zhaoyong, et al. Weak well-posedness for the two component Degasperis-Procesi system. [J]. Acta Scientiarum Naturalium Universitatis SunYatseni 58(1):131-137(2019) DOI： 10.13471/j.cnki.acta.snus.2019.01.016.

摘要

研究两个分支的Degasperis-Procesi系统Cauchy问题当初值(u

)在空间(H

(

)∩W

∞

(

))×(L

(

)∩L

∞

(

))时解的弱适定性问题。首先，利用特征线方法，把两个分支的Degasperis-Procesi系统化成一个ODE系统。其次，应用经典的常微分方程解的适定性理论，得到ODE系统解的存在唯一性。最后证明了两个分支的Degasperis-Procesi系统解的存在唯一性并给出解对初值的弱连续依赖性结论。

Abstract

The weak well-posedness for the Cauchy problem of the twocomponent DegasperisProcesi system with the initial value(u

)∈(H

(

)∩W

∞

(

))×(L

(

)∩L

∞

(

))is obtained. First

by introducing characteristics

the two-component Degasperis-Procesi systems are transformed into an ODE system. Next

applying the classic well-posedness theory to the solution of ordinary differential equations

the local existence and uniqueness of the solution to the ODE system are obtained. Finally

the local existence and uniqueness of the solution for the two-component Degasperis-Procesi system are investigated. And the conclusion of the weak continuous dependence on initial conditions is proven.

关键词

两个分支的Degasperis-Procesi方程存在唯一性弱连续依赖性

Keywords

two-component Degasperis-Procesi systemexistence and uniquenessweak continuous dependence

references

Views

137

下载量

CSCD

Alert me when the article has been cited

提交

Tools

Publicity Resources

共振非严格双曲守恒律组解的存在唯一性

Research on Solutions of Fractional-Order Generalized Logistic Equation with Delay

Existence and Uniqueness of Global Solution for a Model of Immune Cells Inhibiting Tumor Immune Evasion

Existence of global solution for chronic wound by hyperbaric oxygen therapy

Existence and uniqueness of the stationary solution of mathematical model of necrotic tumor with the third boundary

Related Author

Ye Xiaoping

YUAN Liguo

WEI Xuemei

FENG Zhaoyong

CONG Baili

WEI Xuemei

SHAO Shaoxia

LIU Chengxia

Related Institution

中山大学数学系

Department of Mathematics, South China Agricultural University

广东工业大学应用数学学院

2．中山大学数学与计算科学学院

Stomatological Hospital, Southern Medical University

Postal code：510275
Tel：020-84112585，84113223 Email：xuebaozr@mail.sysu.edu.cn
Technical support is provided by Beijing Founder electronics co., LTD 京ICP备09064830号-19 京公网安备11010802024621
It is recommended to read the content of this site in Chrome&IE9+. Please switch to extreme mode in browser 360.
Cookies We use cookies to help provide and enhance our service and tailor content. By continuing, you agree to the use of cookies.

⁰