Acta mathematica scientia,Series A ›› 2015, Vol. 35 ›› Issue (1): 1-14.

• Articles •     Next Articles

The Large Time Behavior of Inhomogeneous Burgers Equation with Periodic Initial Data

Kuang Jie1|Wang Zejun2   

  1. 1.School of Mathematics Sciences, Fudan University, Shanghai 200433;
    2.Department of Mathematics, Nanjing University of Aeronautics and Astronautics, Nanjing 211106
  • Received:2013-06-13 Revised:2014-11-25 Online:2015-02-25 Published:2015-02-25
  • Supported by:

    国家自然科学基金(11031001, 111211101)、国家自然科学基金青年基金(10901082)和中国博士后基金(20090450149) 资助.

Abstract:

In this paper, we study the large time behavior of the Cauchy problem for inhomogeneous Burgers equation. The initial data is assumed to be periodic and the source term has several zero points. We show that under some assumptions on the initial data, the solution approaches to a traveling wave. The main method we used is the theory of generalized characteristics generated by Dafermos C M.

Key words: Inhomogeneous Conservation Laws, Traveling waves solution,  Large time behavior, Generalized characteristics

CLC Number: 

  • 35L67
Trendmd