Open AccessBlowup phenomena for some fourth-order strain wave equations at arbitrary positive initial energy level
Author(s) -
Qiang Lin,
Yang Luo
Publication year - 2022
Publication title -
rocznik akademii górniczo-hutniczej im. stanisława staszica. opuscula mathematica/opuscula mathematica
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.481
H-Index - 16
eISSN - 2300-6919
pISSN - 1232-9274
DOI - 10.7494/opmath.2022.42.2.219
Subject(s) - dissipative system , mathematics , energy (signal processing) , upper and lower bounds , order (exchange) , mathematical analysis , series (stratigraphy) , wave equation , differential equation , strain (injury) , physics , thermodynamics , medicine , paleontology , statistics , finance , biology , economics
In this paper, we study a series of fourth-order strain wave equations involving dissipative structure, which appears in elasto-plastic-microstructure models. By some differential inequalities, we derive the finite time blow up results and the estimates of the upper bound blowup time with arbitrary positive initial energy. We also discuss the influence mechanism of the linear weak damping and strong damping on blowup time, respectively.