Title

Asymptotic Stability Of Solutions Of The Generalized Burgers Equation

Abstract

This paper is concerned with the existence and stability analysis of the generalized Burgers equation. For the cylindrical case, the bounded solutions are found to be asymptotically stable to the similarity solution. For the super cylindrical case, the asymptotic limit of the generalized Burgers equation is an error function solution of the linearized Burgers equation. It is shown that this result generalizes the result of Scott [5]. © 1990.

Publication Date

11-15-1990

Publication Title

Journal of Mathematical Analysis and Applications

Volume

153

Issue

1

Number of Pages

179-189

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1016/0022-247X(90)90272-H

Socpus ID

44949290847 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/44949290847

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