Blow up of solutions with positive energy in nonlinear thermoelasticity with second sound.
Messaoudi, Salim A., Said-Houari, Belkacem (2004)
Journal of Applied Mathematics
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Messaoudi, Salim A., Said-Houari, Belkacem (2004)
Journal of Applied Mathematics
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Yoshihiro Shibata (1993)
Commentationes Mathematicae Universitatis Carolinae
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The global in time solvability of the one-dimensional nonlinear equations of thermoelasticity, equations of viscoelasticity and nonlinear wave equations in several space dimensions with some boundary dissipation is discussed. The blow up of the solutions which might be possible even for small data is excluded by allowing for a certain dissipative mechanism.
Mohammed Aassila (1999)
Colloquium Mathematicae
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Irena Lasiecka, Daniel Toundykov (2007)
Control and Cybernetics
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Wu, Shun-Tang, Tsai, Long-Yi (2006)
Applied Mathematics E-Notes [electronic only]
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Ahmed, N.U., Harbi, H. (1998)
Mathematical Problems in Engineering
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Balogh, Andras, Krstić, Miroslav (2000)
Mathematical Problems in Engineering
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Salvatore Rionero (1982)
Rendiconti del Seminario Matematico della Università di Padova
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Straughan, Brian (1982)
Portugaliae mathematica
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