From the 1 of 4 linked papers with an AI index.
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On the decay estimates of a nonlocal convection-diffusion Hamer system
Timothée Crin-Barat, Belkacem Said-Houari
The paper proves global well‑posedness and optimal time‑decay rates for the multi‑dimensional Hamer model of radiating gases, using hybrid Besov space techniques and relaxing previ…
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…
Well-posedness and global extensibility criteria for time-fractionally damped Jordan--Moore--Gibson--Thompson equation
Mostafa Meliani, Belkacem Said-Houari
In this paper, we consider the Jordan--Moore--Gibson--Thompson with a time-fractional damping term of the type $δ\textup{D}_t^{1-α} Î\psit$ where we allow the challenging so-cal…
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…
Global unique solutions to the planar inhomogeneous Navier--Stokes--Maxwell equations
Diogo Arsénio, Haroune Houamed, Belkacem Said--Houari
The evolution of an electrically conducting imcompressible fluid with nonconstant density can be described by a set of equations combining the continuity, momentum and Maxwell's eq…
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…