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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

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
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