@article{Pang2025, 
author = {Tiantian Pang and Zhenshan Wang and Weipeng Wu},
title = {Upper bounds of blowup time for nonlinear extensible beam equations},
year = {2025},
journal = {Electronic Research Archive},
volume = {33},
number = {9},
pages = {5701-5718},
keywords = {extensible beam equation, Kirchhoff-type wave equation, upper bounds of the blowup time},
url = {https://www.sciopen.com/article/10.3934/era.2025253},
doi = {10.3934/era.2025253},
abstract = {This paper aims to investigate the initial boundary value problem for a class of Kirchhoff-type wave equations modified by Woinowsky-Krieger models, which can be used to describe the nonlinear extensible beam. Using the concave property of the function and a differential inequality, we estimate the upper bounds of the blowup time of the blowup solution at subcritical, critical, and high initial energy levels.}
}