On existence of global in time solutions to thermoelasticity with a quadratic nonlinearity for small data
Keywords
Continuum mechanics, elastic deformation, heat conditionAbstract
In this paper we study a simplified model of thermoviscoplasticity. We prove local in time existence and uniqueness of solution. Moreover, for sufficiently small data, global in time existence is proved.Downloads
Published
2013-04-22
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1.
BARTCZAK, Leszek. On existence of global in time solutions to thermoelasticity with a quadratic nonlinearity for small data. Topological Methods in Nonlinear Analysis. Online. 22 April 2013. Vol. 41, no. 1, pp. 67 - 84. [Accessed 12 December 2024].
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