Improved blowup time estimates for fourth-order damped wave equations with strain term and arbitrary positive initial energy
| dc.contributor.author | Chen, Shaohua | |
| dc.contributor.author | Xu, Runzhang | |
| dc.contributor.author | Yang, Chao | |
| dc.date.accessioned | 2023-05-15T18:25:38Z | |
| dc.date.available | 2023-05-15T18:25:38Z | |
| dc.date.issued | 2022-10-12 | |
| dc.description.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. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 13 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.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. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/16794 | |
| dc.language.iso | en | |
| dc.publisher | Texas State University, Department of Mathematics | |
| dc.rights | Attribution 4.0 International | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.source | Electronic Journal of Differential Equations, 2022, San Marcos, Texas: Texas State University and University of North Texas. | |
| dc.subject | Finite time blowup | |
| dc.subject | Fourth-order wave equation | |
| dc.subject | Strain term | |
| dc.subject | Arbitrary positive initial energy | |
| dc.title | Improved blowup time estimates for fourth-order damped wave equations with strain term and arbitrary positive initial energy | |
| dc.type | Article |