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, 1-11

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
References: Add references at CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/JAM/2004/426243.pdf (application/pdf)
http://downloads.hindawi.com/journals/JAM/2004/426243.xml (text/xml)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:426243

DOI: 10.1155/S1110757X04311022

Access Statistics for this article

More articles in Journal of Applied Mathematics from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().