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2025, Volume 33, Issue 9: 5701-5718. doi: 10.3934/era.2025253
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Research article

Upper bounds of blowup time for nonlinear extensible beam equations

  • 1.
    College of Mathematical Sciences, Harbin Engineering University, Harbin 150001, China
  • 2.
    College of Software, Harbin Institute of Information Technology, Harbin 150431, China
  • Published: 25 September 2025

  • 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.

    Citation: Tiantian Pang, Zhenshan Wang, Weipeng Wu. Upper bounds of blowup time for nonlinear extensible beam equations[J]. Electronic Research Archive, 2025, 33(9): 5701-5718. doi: 10.3934/era.2025253

    Related Papers:

  • 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.



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