Alinhac, S. Mechanism of explosion of classical solutions of one-dimensional hyperbolic systems. (Mécanisme d’explosion des solutions classiques de systèmes hyperboliques unidimensionnels.) (French) Zbl 0884.35088 Sémin. Équ. Dériv. Partielles, Éc. Polytech., Cent. Math., Palaiseau Sémin. 1994-1995, Exp. No. 6, 10 p. (1995). It is the general belief that the mechanism of blow-up of classical solutions of hyperbolic systems when the dimension of space is larger than one is similar with that for one-dimensional hyperbolic systems. The author presents some reasons which show why this belief is well-grounded for first-order hyperbolic systems. Reviewer: C.Popa (Iaşi) MSC: 35L60 First-order nonlinear hyperbolic equations 35B40 Asymptotic behavior of solutions to PDEs Keywords:blow-up of classical solutions PDFBibTeX XMLCite \textit{S. Alinhac}, Sémin. Équ. Dériv. Partielles, Éc. Polytech., Cent. Math. Laurent Schwartz, Palaiseau, Exp. No. 6, 10 p. (1995; Zbl 0884.35088) Full Text: Numdam EuDML