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math.AP2023
The vanishing relaxation time behavior of multi-term nonlocal Jordan-Moore-Gibson-Thompson equations
Barbara Kaltenbacher, Vanja Nikolić
The family of Jordan-Moore-Gibson-Thompson (JMGT) equations arises in nonlinear acoustics when a relaxed version of the heat flux law is employed within the system of governing equ…
math.AP2022
Time-weighted estimates for the Blackstock equation in nonlinear ultrasonics
Vanja Nikolić, Belkacem Said-Houari
High frequencies at which ultrasonic waves travel give rise to nonlinear phenomena. In thermoviscous fluids, these are captured by Blackstock's acoustic wave equation with strong d…