4 papers
Discontinuous Galerkin approximations of the Jordan-Moore-Gibson-Thompson equation in the vanishing relaxation limit
Vanja Nikolić
The Jordan-Moore-Gibson-Thompson (JMGT) equation models nonlinear acoustic wave propagation in thermally relaxing media and in the vanishing relaxation limit approaches the damped…
Asymptotic-preserving finite element analysis of Westervelt-type wave equations
Vanja Nikolić
Motivated by numerical modeling of ultrasound waves, we investigate robust conforming finite element discretizations of quasilinear and possibly nonlocal equations of Westervelt ty…
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…
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…