Global Existence and Asymptotic Behavior of Solutions to the Generalized Damped Boussinesq Equation. (31st July 2013)

• Record Type: Journal Article
• Authors: Wang, Yinxia; Zhao, Hengjun
• Other Names: Konopelchenko B. G. Academic Editor.
• Is Part Of: Advances in mathematical physics. Volume 2013(2013)
• Publication Date: 2013-07-31
• Subjects: Mathematical physics -- Periodicals; Mathematical physics; Periodicals; 530.15
• DOI: 10.1155/2013/364165
• Languages: English
• ISSNs: 1687-9120

Abstract

Abstract : We investigate the Cauchy problem for the generalized damped Boussinesq equation. Under small condition on the initial value, we prove the global existence and optimal decay estimate of solutions for all space dimensions n ≥ 1 . Moreover, when n ≥ 2, we show that the solution can be approximated by the linear solution as time tends to infinity.