Blowup of solutions with positive energy in nonlinear thermoelasticity with second sound
Messaoudi, Salim A. ; Said-Houari, Belkacem
J. Appl. Math., Tome 2004 (2004) no. 1, p. 201-211 / Harvested from Project Euclid
Text on Project Euclid
PDF
Alt PDF
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.
Publié le : 2004-08-02
Classification:  35L55,  35L70,  74H40,  74F05 
@article{1091626399,
     author = {Messaoudi, Salim A. and Said-Houari, Belkacem},
     title = {Blowup of solutions with positive energy in nonlinear
thermoelasticity with second sound},
     journal = {J. Appl. Math.},
     volume = {2004},
     number = {1},
     year = {2004},
     pages = { 201-211},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1091626399}
}

Messaoudi, Salim A.; Said-Houari, Belkacem. Blowup of solutions with positive energy in nonlinear
thermoelasticity with second sound. J. Appl. Math., Tome 2004 (2004) no. 1, pp.  201-211. http://gdmltest.u-ga.fr/item/1091626399/