Global existence and decay of solutions for the generalized bad Boussinesq equation


Taskesen H., Polat N., Ertas A.

APPLIED MATHEMATICS-A JOURNAL OF CHINESE UNIVERSITIES SERIES B, vol.28, no.3, pp.253-268, 2013 (Peer-Reviewed Journal) identifier identifier

  • Publication Type: Article / Article
  • Volume: 28 Issue: 3
  • Publication Date: 2013
  • Doi Number: 10.1007/s11766-013-2998-9
  • Journal Name: APPLIED MATHEMATICS-A JOURNAL OF CHINESE UNIVERSITIES SERIES B
  • Journal Indexes: Science Citation Index Expanded, Scopus
  • Page Numbers: pp.253-268

Abstract

In this paper, we consider the global existence of solutions for the Cauchy problem of the generalized sixth order bad Boussinesq equation. Moreover, we show that the supremum norm of the solution decays algebraically to zero as (1 + t)(-(1/7)) when t approaches to infinity, provided the initial data are sufficiently small and regular.