33 citations · 99 across the 11 of their papers we have counts for
16 papers
A phase-field approach to shape and topology optimization of acoustic waves in dissipative media
Harald Garcke, Sourav Mitra, Vanja Nikolić
We investigate the problem of finding the optimal shape and topology of a system of acoustic lenses in a dissipative medium. The sound propagation is governed by a general semiline…
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…
Time-fractional Moore-Gibson-Thompson equations
Barbara Kaltenbacher, Vanja Nikolić
In this paper, we consider several time-fractional generalizations of the Jordan-Moore-Gibson-Thompson (JMGT) equations in nonlinear acoustics as well as their linear Moore-Gibson-…
A discontinuous Galerkin coupling for nonlinear elasto-acoustics
Markus Muhr, Vanja Nikolić, Barbara Wohlmuth
Inspired by medical applications of high-intensity ultrasound, we study a coupled elasto-acoustic problem with general acoustic nonlinearities of quadratic type as they arise, for…
The inviscid limit of third-order linear and nonlinear acoustic equations
Barbara Kaltenbacher, Vanja Nikolić
We analyze the behavior of third-order in time linear and nonlinear sound waves in thermally relaxing fluids and gases as the sound diffusivity vanishes. The nonlinear acoustic pro…
Asymptotic behavior of nonlinear sound waves in inviscid media with thermal and molecular relaxation
Vanja Nikolić, Belkacem Said-Houari
Ultrasonic propagation through media with thermal and molecular relaxation can be modeled by third-order in time nonlinear wave-like equations with memory. This paper investigates…