Improved blowup time estimates for fourth-order damped wave equations with strain term and arbitrary positive initial energy
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Date
2022-10-12
Authors
Chen, Shaohua
Xu, Runzhang
Yang, Chao
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
We propose a new differential inequality that improve the upper bound of the blowup time estimate for nonlinear fourth-order damped wave equations with strain term and arbitrary positive initial energy. We also give two new initial conditions to expand the range of the initial data leading to the finite time blowup of solutions. We obtain a sharp result of finite time blowup for the special case of the new differential inequality. We illustrate our results with some simulations.
Description
Keywords
Finite time blowup, Fourth-order wave equation, Strain term, Arbitrary positive initial energy
Citation
Chen, S., Xu, Runzhang, X., & Yang, C. (2022). Improved blowup time estimates for fourth-order damped wave equations with strain term and arbitrary positive initial energy. <i>Electronic Journal of Differential Equations, 2022</i>(70), pp. 1-13.
Rights
Attribution 4.0 International