Arbitrarily positive initial energy blowup and blowup time for some fourth-order viscous wave equation. (July 2020)

• Record Type: Journal Article
• Authors: Wang, Yu; Wu, Furong; Yang, Yanbing
• Is Part Of: Nonlinear analysis. Volume 196(2020)
• Publication Date: 2020-07
• Subjects: 35L75; Fourth-order wave equation -- Viscous damping term -- Finite time blowup -- High 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.2020.111776
• Languages: English
• ISSNs: 0362-546X

Abstract

Abstract: This paper is devoted to the finite time blowup phenomena for a class of fourth-order wave equation with viscous damping term. It is shown that the high initial energy finite time blowup associated with the upper bound of the blowup time is established by introducing a new auxiliary function and employing an adapted concavity method.