Acta mathematica scientia,Series B ›› 2019, Vol. 39 ›› Issue (2): 597-606.doi: 10.1007/s10473-019-0221-7

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

Yongqian ZHANG1, Qin ZHAO2   

  1. 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).

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

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