Conejero, J. Alberto; Lizama, Carlos; Ródenas Escribá, Francisco de Asís(Natural Sciences Publishing, 2015-09)
[EN] We study a third-order partial differential equation in the form
$\tau u_{ttt} +\alpha u_{tt} -c^2 u_{xx} -b u_{xxt} =0, (1)$$
that corresponds to the one-dimensional version of the Moore-Gibson-Thompson equation ...
[EN] We examine the Cauchy problem for a model of linear acoustics, called the Moore-Gibson-Thompson equation, describing a sound propagation in thermo-viscous elastic media with two temperatures on cylindrical domains. ...
Lizama, Carlos; Murillo Arcila, Marina(University of Szeged, 2021)
[EN] In this paper, we completely characterize, only in terms of the data, the well-posedness of a fourth order abstract evolution equation arising from the Moore-Gibson-Thomson equation with memory. This characterization ...