From the 1 of 4 linked papers with an AI index.
4 papers
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…
Optimal Neumann boundary and distributed control of the Westervelt equation with time-fractional attenuation
Vanja NikoliÄ, 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…
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…