33 citations · 99 across the 11 of their papers we have counts for
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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…
Parabolic approximation of quasilinear wave equations with applications in nonlinear acoustics
Barbara Kaltenbacher, Vanja Nikolić
This work deals with the convergence analysis of parabolic perturbations to quasilinear wave equations on smooth bounded domains. In particular, we consider wave equations with non…
On the Jordan-Moore-Gibson-Thompson wave equation in hereditary fluids with quadratic gradient nonlinearity
Vanja Nikolić, Belkacem Said-Houari
We prove global solvability of the third-order in time Jordan-More-Gibson-Thompson acoustic wave equation with memory in , where . This wave equation models…
Mathematical analysis of memory effects and thermal relaxation in nonlinear sound waves on unbounded domains
Vanja Nikolić, Belkacem Said-Houari
Motivated by the propagation of nonlinear sound waves through relaxing hereditary media, we study a nonlocal third-order Jordan-Moore-Gibson-Thompson acoustic wave equation. Under…