LARGE TIME BEHAVIOR OF SOLUTION TO NONLINEAR DIRAC EQUATION IN 1+1 DIMENSIONS

doi:10.1007/s10473-019-0221-7

数学物理学报(英文版) ›› 2019, Vol. 39 ›› Issue (2): 597-606.doi: 10.1007/s10473-019-0221-7

LARGE TIME BEHAVIOR OF SOLUTION TO NONLINEAR DIRAC EQUATION IN 1+1 DIMENSIONS

张永前¹, 赵勤²

1. School of Mathematical Sciences, Fudan University, Shanghai 200433, China;
2. School of Mathematical Sciences, Shanghai Jiao Tong University, Shanghai 200240, China

收稿日期:2017-06-16 修回日期:2018-08-27 出版日期:2019-04-25 发布日期:2019-05-06
通讯作者: Qin ZHAO E-mail:zhao@sjtu.edu.cn
作者简介:Yongqian ZHANG,yongqianz@fudan.edu.cn
基金资助:
This work was supported in part by NSFC Project (11421061), the 111 Project (B08018), and by Natural Science Foundation of Shanghai (15ZR1403900).

LARGE TIME BEHAVIOR OF SOLUTION TO NONLINEAR DIRAC EQUATION IN 1+1 DIMENSIONS

Yongqian ZHANG¹, Qin ZHAO²

1. School of Mathematical Sciences, Fudan University, Shanghai 200433, China;
2. School of Mathematical Sciences, Shanghai Jiao Tong University, Shanghai 200240, China

Received:2017-06-16 Revised:2018-08-27 Online:2019-04-25 Published:2019-05-06
Contact: Qin ZHAO E-mail:zhao@sjtu.edu.cn
Supported by:
This work was supported in part by NSFC Project (11421061), the 111 Project (B08018), and by Natural Science Foundation of Shanghai (15ZR1403900).

摘要/Abstract

摘要： This paper studies the large time behavior of solution for a class of nonlinear massless Dirac equations in R¹⁺¹. It is shown that the solution will tend to travelling wave solution when time tends to infinity.

关键词: large time behavior, nonlinear Dirac equation, gross-Neveu model, global strong solution, gravelling wave solution

Abstract: This paper studies the large time behavior of solution for a class of nonlinear massless Dirac equations in R¹⁺¹. It is shown that the solution will tend to travelling wave solution when time tends to infinity.

Key words: large time behavior, nonlinear Dirac equation, gross-Neveu model, global strong solution, gravelling wave solution

张永前, 赵勤. LARGE TIME BEHAVIOR OF SOLUTION TO NONLINEAR DIRAC EQUATION IN 1+1 DIMENSIONS[J]. 数学物理学报(英文版), 2019, 39(2): 597-606.

Yongqian ZHANG, Qin ZHAO. LARGE TIME BEHAVIOR OF SOLUTION TO NONLINEAR DIRAC EQUATION IN 1+1 DIMENSIONS[J]. Acta mathematica scientia,Series B, 2019, 39(2): 597-606.

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LARGE TIME BEHAVIOR OF SOLUTION TO NONLINEAR DIRAC EQUATION IN 1+1 DIMENSIONS

LARGE TIME BEHAVIOR OF SOLUTION TO NONLINEAR DIRAC EQUATION IN 1+1 DIMENSIONS

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