High energy blow up for two-dimensional generalized exponential-type Boussinesq equation. (August 2020)

• Record Type: Journal Article
• Authors: Guo, Siyan; Yang, Yanbing
• Is Part Of: Nonlinear analysis. Volume 197(2020)
• Publication Date: 2020-08
• Subjects: 35B44 -- 35E15; Generalized Boussinesq equation -- Exponential nonlinearity -- Finite time blow up -- Arbitrarily positive initial energy; Mathematical analysis -- Periodicals; Functional analysis -- Periodicals; Nonlinear theories -- Periodicals; Analyse mathématique -- Périodiques; Analyse fonctionnelle -- Périodiques; Théories non linéaires -- Périodiques; Functional analysis; Mathematical analysis; Nonlinear theories; Periodicals; Electronic journals; 515.7248
• DOI: 10.1016/j.na.2020.111864
• Languages: English
• ISSNs: 0362-546X

Abstract

Abstract: A finite time blow up result for the Cauchy problem of two-dimensional generalized Boussinesq-type equation with exponential type source term is considered in this paper. Based on an adapted concave method, we derive a sufficient condition on initial data leading to the arbitrarily positive initial energy finite time blow up.