@Article{JPDE-25-2,
author = {Yuxi, Hu},
title = {Global Solvability in Thermoelasticity with Second Sound on the Semi-axis},
journal = {Journal of Partial Differential Equations},
year = {2012},
volume = {25},
number = {2},
pages = {139--170},
abstract = {<p>In this paper, we consider initial boundary value problem for the equations of one-dimensional nonlinear thermoelasticity with second sound in R^+. First, we derive decay rates for linear systems which, in fact, is a hyperbolic systems with a damping term. Then, using this linear decay rates, we get L^1 and L^∞ decay rates for nonlinear systems. Finally, combining with L^2 estimates and a local existence theorem, we prove a global existence and uniqueness theorem for small smooth data.</p>},
issn = {2079-732X},
doi = {https://doi.org/10.4208/jpde.v25.n2.3},
url = {https://global-sci.com/article/88347/global-solvability-in-thermoelasticity-with-second-sound-on-the-semi-axis}
}