87 citations · 268 across the 23 of their papers we have counts for
Showing 2021 · math.APShow all
3 papers · 2 filters
math.AP2021★ 9 cited
Local well-posedness of a coupled Westervelt-Pennes model of nonlinear ultrasonic heating
Vanja Nikolić, Belkacem Said-Houari
High-Intensity Focused Ultrasound (HIFU) waves are known to induce localized heat to a targeted area during medical treatments. In turn, the rise in temperature influences their sp…
math.AP2021
Global existence for the Jordan--Moore--Gibson--Thompson equation in Besov spaces
Belkacem Said-Houari
In this paper, we consider the Cauchy problem of a model in nonlinear acoustic, named the Jordan--Moore--Gibson--Thompson equation. This equation arises as an alternative model to…
math.AP2021
Global well-posedness of the Cauchy problem for the Jordan--Moore--Gibson--Thompson equation with arbitrarily large higher-order Sobolev norms
Belkacem Said-Houari
In this paper, we consider the 3D Jordan--Moore--Gibson--Thompson equation arising in nonlinear acoustics. First, we prove that the solution exists globally in time provided that t…