Large Time Behaviour of Solutions of a System of Generalized Burgers Equation

Proceedings Mathematical Sciences

K T Joseph¹ 

[1] School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, Mumbai 00 00, India$$

关键词: Burgers equation;    explicit formula;    asymptotic behaviour.;   

DOI  :  

学科分类：数学（综合）

来源: Indian Academy of Sciences

【 摘 要 】

In this paper we study the asymptotic behaviour of solutions of a system of 𝑁 partial differential equations. When 𝑁 = 1 the equation reduces to the Burgers equation and was studied by Hopf. We consider both the inviscid and viscous case and show a new feature in the asymptotic behaviour.

【 授权许可】

Unknown