Blowup phenomena for some fourth-order strain wave equations at arbitrary positive initial energy level
Qiang Lin, Yongbing Luo
Opuscula Mathematica · 2022
doi:10.7494/opmath.2022.42.2.219 (opens in a new tab)
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Abstract
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.
Abstract licence: CC BY
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