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math.AP2019★ 5 cited
On the Cauchy problem for the standard linear solid model with heat conduction: Fourier versus Cattaneo
Marta Pellicer, Belkacem Said-Houari
In this paper, we consider the standard linear solid model in coupled, first, with the Fourier law of heat conduction and, second, with the Cattaneo law. First, we g…
math.AP2016★ 87 cited
Wellposedness and decay rates for the Cauchy problem of the Moore-Gibson-Thompson equation arising in high intensity ultrasound
Marta Pellicer, Belkacem Said-Houari
In this paper, we study the Moore--Gibson--Thompson equation in , which is a third order in time equation that arises in viscous thermally relaxing fluids and also in…
math.AP2015★ 92 cited
Optimal scalar products in the Standard Linear Viscoelastic Model
M. Pellicer, J. Solà-Morales
We study the third order in time linear dissipative wave equation known as the Standard Linear Viscoelastic Model, that appears also as the linearization of the so-called Moore-Gib…