Remarks on Propagation of Singularities in Thermoelasticity

@article{Wang2002RemarksOP,
  title={Remarks on Propagation of Singularities in Thermoelasticity},
  author={Ya-Guang Wang},
  journal={Journal of Mathematical Analysis and Applications},
  year={2002},
  volume={266},
  pages={169-185}
}
  • Ya-Guang Wang
  • Published 1 February 2002
  • Mathematics
  • Journal of Mathematical Analysis and Applications
The propagation of high order weak singularities for the system of homogeneous thermoelasticity in one space variable is studied by using paralinearization and a new decoupling technique introduced by the author (Microlocal analysis in nonlinear thermoelasticity, to appear). For the linear system, one shows that the nonsmooth initial data for the parabolic part lead to singularities in the hyperbolic part of solutions, even when the initial data for that part are identically zero. Both the… 
Decay properties and asymptotic profiles for elastic waves with Kelvin–Voigt damping in 2D
In this paper we consider elastic waves with Kelvin-Voigt damping in 2D. For the linear problem, applying pointwise estimates of the partial Fourier transform of solutions in the Fourier space and

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