Wellposedness and exponential decay rates for the Moore-Gibson-Thompson equation arising in high intensity ultrasound

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Moore–Gibson–Thompson thermoelasticity (2019, unknown): “Introduction The Moore–Gibson–Thompson (MGT) equation has received huge levels of interest in recent years and many papers have been directed to studying and understanding it (see, among others, [1-6]).”
On the regularity of solutions to the Moore–Gibson–Thompson equation: a perspective via wave equations with memory (2017, background): “2)—the latter linked and complementing those in our key reference [15]—we highlight them in Theorem 1.”
The Cauchy problem for the Moore-Gibson-Thompson equation in the dissipative case (2020, background): “Concerning other studies for the linear or nonlinear MGT equations, we refer interested readers to the related works [40, 50, 19, 34, 33, 39, 32, 38, 47, 7, 15, 37, 16, 36, 46, 5, 1, 14, 6, 48, 45, 10, 11, 4, 41, 42] and references therein.”
Nonexistence of global solutions for the semilinear Moore – Gibson – Thompson equation in the conservative case (2019, background): “According to [20, 24], a suitable defined energy for the MGT equation is conserved from the point of view of semigroups.”