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September  2015, 14(5): 1671-1683. doi: 10.3934/cpaa.2015.14.1671

## On global solutions in one-dimensional thermoelasticity with second sound in the half line

 1 Department of Mathematics, China University of Mining and Technology, Beijing, 100083, China 2 Department of Mathematics, Tianjin University of Technology, Tianjin 300384, China

Received  December 2013 Revised  March 2014 Published  June 2015

In this paper, we investigate the initial boundary value problem for one-dimensional thermoelasticity with second sound in the half line. By using delicate energy estimates, together with a special form of Helmholtz free energy, we are able to show the global solutions exist under the Dirichlet boundary condition if the initial data are sufficient small.
Citation: Yuxi Hu, Na Wang. On global solutions in one-dimensional thermoelasticity with second sound in the half line. Communications on Pure & Applied Analysis, 2015, 14 (5) : 1671-1683. doi: 10.3934/cpaa.2015.14.1671
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