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

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Atıf İçin Kopyala

Taskesen H., Polat N., Ertas A.

APPLIED MATHEMATICS-A JOURNAL OF CHINESE UNIVERSITIES SERIES B, cilt.28, sa.3, ss.253-268, 2013 (SCI-Expanded)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 28 Sayı: 3
• Basım Tarihi: 2013
• Doi Numarası: 10.1007/s11766-013-2998-9
• Dergi Adı: APPLIED MATHEMATICS-A JOURNAL OF CHINESE UNIVERSITIES SERIES B
• Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
• Sayfa Sayıları: ss.253-268
• Van Yüzüncü Yıl Üniversitesi Adresli: Evet

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.