Publikation: Global classical solution for one-dimensional nonlinear thermoelastiticity with second sound on the semi-axis
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2011
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Hu, Yuxi
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In this paper, we will give a global existence theorem in one-dimensional thermoelasticity with second sound in ℝ+. For this purpose, we first give the decay rates of the linearized equations with the help of of the Fourier sine and cosine transformation and the local existence theorem using theorems for quasi-linear symmetric hyeperbolic sytems. Then we establish some estimates in L2, L1 and L∞ norms to get a uniform a apriori estimate. Finally, we use the usual continuation argument to get a global solution.
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HU, Yuxi, 2011. Global classical solution for one-dimensional nonlinear thermoelastiticity with second sound on the semi-axisBibTex
@techreport{Hu2011Globa-14066,
year={2011},
series={Konstanzer Schriften in Mathematik},
title={Global classical solution for one-dimensional nonlinear thermoelastiticity with second sound on the semi-axis},
number={280},
author={Hu, Yuxi}
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