Blowup of solutions with positive energy in nonlinear thermoelasticity with second sound
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 techniq...
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| Format: | Article |
| Language: | English |
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Wiley
2004-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/S1110757X04311022 |
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| author | Salim A. Messaoudi Belkacem Said-Houari |
| author_facet | Salim A. Messaoudi Belkacem Said-Houari |
| author_sort | Salim A. Messaoudi |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-bdbe0b096f0e43acb201ce8a6d0e2bb6 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2004-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-bdbe0b096f0e43acb201ce8a6d0e2bb62025-02-03T07:23:52ZengWileyJournal of Applied Mathematics1110-757X1687-00422004-01-012004320121110.1155/S1110757X04311022Blowup of solutions with positive energy in nonlinear thermoelasticity with second soundSalim A. Messaoudi0Belkacem Said-Houari1Mathematical Sciences Department, King Fahd University of Petroleum and Minerals, Dhahran 31261, Saudi ArabiaDépartement de Mathématiques, Université Badji Mokhtar, BP 12, Annaba 23000, AlgeriaThis 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.http://dx.doi.org/10.1155/S1110757X04311022 |
| spellingShingle | Salim A. Messaoudi Belkacem Said-Houari Blowup of solutions with positive energy in nonlinear thermoelasticity with second sound Journal of Applied Mathematics |
| title | Blowup of solutions with positive energy in nonlinear thermoelasticity with second sound |
| title_full | Blowup of solutions with positive energy in nonlinear thermoelasticity with second sound |
| title_fullStr | Blowup of solutions with positive energy in nonlinear thermoelasticity with second sound |
| title_full_unstemmed | Blowup of solutions with positive energy in nonlinear thermoelasticity with second sound |
| title_short | Blowup of solutions with positive energy in nonlinear thermoelasticity with second sound |
| title_sort | blowup of solutions with positive energy in nonlinear thermoelasticity with second sound |
| url | http://dx.doi.org/10.1155/S1110757X04311022 |
| work_keys_str_mv | AT salimamessaoudi blowupofsolutionswithpositiveenergyinnonlinearthermoelasticitywithsecondsound AT belkacemsaidhouari blowupofsolutionswithpositiveenergyinnonlinearthermoelasticitywithsecondsound |