3 papers
math.AP2024
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…
math.AP2024
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…
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…