Large time behaviour of solutions of a system of generalized Burgers equation
نویسندگان
چکیده
منابع مشابه
Large time behaviour of solutions of a system of generalized Burgers equation
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.
متن کاملLarge-time Behavior of Solutions of Burgers' Equation
The large-time asymptotic behavior of real-valued solutions of the pure initial-value problem for Burgers' equation u t + uu x ? u xx = 0, > 0, is studied. The initial data is of the form u 0 (x) = nx 1+x 2 + u 1 (x), where n 2 R and u 1 2 L 1 (R). Eberhard Hopf H] considered the case n = 0, and the case ku 1 k L 1 == + jnj suuciently small was considered in D]. Here we study the general case. ...
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ژورنال
عنوان ژورنال: Proceedings Mathematical Sciences
سال: 2005
ISSN: 0253-4142,0973-7685
DOI: 10.1007/bf02829813