87 citations · 268 across the 23 of their papers we have counts for
4 papers · 2 filters
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 $δ\textup{D}_t^{1-α} Δ\psit$ where we allow the challenging so-called…
Global existence and asymptotic behavior of the Westervelt--hyperbolic Pennes system
Imen Benabbas, Belkacem Said-Houari
In this work, we investigate the global existence and asymptotic behavior of a mathematical model of nonlinear ultrasonic heating based on a coupled system of the Westervelt 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…
Local well-posedness of a coupled Jordan-Moore-Gibson-Thompson-Pennes model of nonlinear ultrasonic heating
Imen Benabbas, Belkacem Said-Houari
In this work, we investigate a mathematical model of nonlinear ultrasonic heating based on the Jordan-Moore-Gibson-Thompson equation (JMGT) with temperature-dependent medium parame…