Asymptotic Stability and Blow-up of Solutions for the Generalized Boussinesq Equation with Nonlinear Boundary Condition

Dang, Jian and Hu, Qingying and Zhang, Hongwei (2018) Asymptotic Stability and Blow-up of Solutions for the Generalized Boussinesq Equation with Nonlinear Boundary Condition. Open Journal of Mathematical Analysis, 2(2018 (2). pp. 93-113. ISSN 26168103

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Abstract

In this paper, we consider initial boundary value problem of the generalized Boussinesq equation with nonlinear interior source and boundary absorptive terms. We establish both the existence of the solution and a general decay of the energy functions under some restrictions on the initial data. We also prove a blow-up result for solutions with positive and negative initial energy respectively.

Item Type: Article
Subjects: Open Research Librarians > Mathematical Science
Depositing User: Unnamed user with email support@open.researchlibrarians.com
Date Deposited: 21 Feb 2023 08:37
Last Modified: 30 Dec 2023 13:36
URI: http://stm.e4journal.com/id/eprint/100

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