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


Taşkesen H. , Polat N., Ertas A.

APPLIED MATHEMATICS-A JOURNAL OF CHINESE UNIVERSITIES SERIES B, cilt.28, ss.253-268, 2013 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 28 Konu: 3
  • Basım Tarihi: 2013
  • Doi Numarası: 10.1007/s11766-013-2998-9
  • Dergi Adı: APPLIED MATHEMATICS-A JOURNAL OF CHINESE UNIVERSITIES SERIES B
  • Sayfa Sayıları: ss.253-268

Özet

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.