Mustafa, Octavian G. Global conservative solutions of the hyperelastic rod equation. (English) Zbl 1155.35301 Int. Math. Res. Not. 2007, No. 13, Article ID rnm040, 26 p. (2007). Summary: A new approach to the analysis of wave-breaking solutions to the hyperelastic rod equation is presented in this paper. Introduction of a set of variables allows solving the singularities. A continuous semigroup of solutions is also built. The solutions have constant \(H^{1}\) energy almost every time with respect to the Lebesgue measure. Cited in 7 Documents MSC: 35A21 Singularity in context of PDEs 74K10 Rods (beams, columns, shafts, arches, rings, etc.) 74J30 Nonlinear waves in solid mechanics Keywords:wave-breaking solutions; continuous semigroup PDFBibTeX XMLCite \textit{O. G. Mustafa}, Int. Math. Res. Not. 2007, No. 13, Article ID rnm040, 26 p. (2007; Zbl 1155.35301) Full Text: DOI