Formation of Singularities of Solutions to the One‐Dimensional Elastic Medium Model
ABSTRACT In this paper, we mainly study the blow up phenomenon to classical solutions of the one‐dimensional elastic medium model. By constructing the periodic initial data under some suitable conditions, we show that solutions will blow up in finite time and derive the lifespan of the solution.
Authors
- Zhen Zheng
- Zenggui Wang Zenggui Wang
- Hui Meng
- Jing Zhang
Institutions
- Liaocheng University (CN)
Publication Details
- Journal
- Mathematical Methods in the Applied Sciences
- Published
- 2026-02-26
- DOI
- https://doi.org/10.1002/mma.70637
- Primary Topic
- Nonlinear Partial Differential Equations
- Type
- article
- Field-Weighted Citation Impact
- 0.00