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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.OC2025

Optimal Neumann boundary and distributed control of the Westervelt equation with time-fractional attenuation

Vanja Nikolić, Belkacem Said-Houari

Optimal control of nonlinear acoustic waves is relevant in many medical ultrasound technologies, ranging from cancer therapy to targeted drug delivery, where it can help guide the…

math.AP2025

Global existence for a fractionally damped nonlinear Jordan--Moore--Gibson--Thompson equation

Mostafa Meliani, Belkacem Said-Houari

In nonlinear acoustics, higher-order-in-time equations arise when taking into account a class of thermal relaxation laws in the modeling of sound wave propagation. In the literatur…