TY - JOUR
T1 - Global existence and decay of solutions of the Cauchy problem in thermoelasticity with second sound
AU - Kasimov, Aslan R.
AU - Racke, Reinhard
AU - Said-Houari, Belkacem
N1 - KAUST Repository Item: Exported on 2020-10-01
PY - 2013/6/4
Y1 - 2013/6/4
N2 - We consider the one-dimensional Cauchy problem in non-linear thermoelasticity with second sound, where the heat conduction is modelled by Cattaneo's law. After presenting decay estimates for solutions to the linearized problem, including refined estimates for data in weighted Lebesgue-spaces, we prove a global existence theorem for small data together with improved decay estimates, in particular for derivatives of the solutions. © 2013 Taylor & Francis.
AB - We consider the one-dimensional Cauchy problem in non-linear thermoelasticity with second sound, where the heat conduction is modelled by Cattaneo's law. After presenting decay estimates for solutions to the linearized problem, including refined estimates for data in weighted Lebesgue-spaces, we prove a global existence theorem for small data together with improved decay estimates, in particular for derivatives of the solutions. © 2013 Taylor & Francis.
UR - http://hdl.handle.net/10754/562803
UR - http://www.tandfonline.com/doi/abs/10.1080/00036811.2013.801457
UR - http://www.scopus.com/inward/record.url?scp=84898004531&partnerID=8YFLogxK
U2 - 10.1080/00036811.2013.801457
DO - 10.1080/00036811.2013.801457
M3 - Article
SN - 0003-6811
VL - 93
SP - 911
EP - 935
JO - Applicable Analysis
JF - Applicable Analysis
IS - 5
ER -