Abstract
In this paper we consider the hyperelastic rod equation which describes far-field, finite length, finite amplitude radial deformation waves in cylindrical compressible hyperelastic rods. Based on the conservation laws and the blow-up scenario, we derive a new blow-up result which extending earlier blow-up results for the hyperelastic rod equation.
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This work is supported by Yunnan Fundamental Research Projects (Grant No. KKSQ202107025).
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Communicated by Adrian Constantin.
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Zhao, J., Yang, S. Blow-up issues for the hyperelastic rod equation. Monatsh Math 201, 565–571 (2023). https://doi.org/10.1007/s00605-022-01715-z
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DOI: https://doi.org/10.1007/s00605-022-01715-z