Blow-up analysis for the generalized hyperelastic rod equation
Analysis of PDEs
2025-09-22 v1
Abstract
We investigate the blow-up for the generalized hyperelastic rod equation, which includes the Camassa-Holm equation, the the hyperelastic-rod wave equation, and the rotation-Camassa-Holm equation as special cases. We establish a new local-in-space blow-up criterion under certain initial data. Our local-in-space blow-up condition on the initial data is purely local in the space variable.
Cite
@article{arxiv.2509.15960,
title = {Blow-up analysis for the generalized hyperelastic rod equation},
author = {Shaojie Yang},
journal= {arXiv preprint arXiv:2509.15960},
year = {2025}
}