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20082026
most citedWellposedness and decay rates for the Cauchy problem of the Moore-Gibson-Thompson equation arising in high intensity ultrasound

87 citations · 268 across the 23 of their papers we have counts for

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math.AP2023

Energy decay of some multi-term nonlocal-in-time Moore--Gibson--Thompson equations

Mostafa Meliani, Belkacem Said-Houari

This paper aims to explore the long-term behavior of some nonlocal high-order-in-time wave equations. These equations, which have come to be known as Moore--Gibson--Thompson equati…

math.AP2023

The Westervelt--Pennes--Cattaneo model: local well-posedness and singular limit for vanishing relaxation time

Imen Benabbas, Belkacem Said-Houari

In this work, we investigate a mathematical model of nonlinear ultrasonic heating based on a coupled system of the Westervelt equation and the hyperbolic Pennes bioheat equation (W…