2 papers
math.AP2023
The Kuznetsov and Blackstock equations of nonlinear acoustics with nonlocal-in-time dissipation
B. Kaltenbacher, M. Meliani, V. Nikolić
In ultrasonics, nonlocal quasilinear wave equations arise when taking into account a class of heat flux laws of Gurtin--Pipkin type within the system of governing equations of soun…
math.AP2023
Nonlinear acoustic equations of fractional higher order at the singular limit
Vanja Nikolić
When high-frequency sound waves travel through media with anomalous diffusion, such as biological tissues, their motion can be described by nonlinear wave equations of fractional h…