Blowup of solutions with positive energy in nonlinear thermoelasticity with second sound

Salim A. Messaoudi and Belkacem Said-Houari

Journal of Applied Mathematics, 2004, vol. 2004, issue 3, 201-211

Abstract: This work is concerned with a semilinear thermoelastic system, where the heat flux is given by Cattaneo′s law instead of the usual Fourier′s law. We will improve our earlier result by showing that the blowup can be obtained for solutions with “relatively” positive initial energy. Our technique of proof is based on a method used by Vitillaro with the necessary modifications imposed by the nature of our problem.

Date: 2004
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https://doi.org/10.1155/S1110757X04311022

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnljam:v:2004:y:2004:i:3:p:201-211

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