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math.AP2022★ 1 cited
Limiting behavior of quasilinear wave equations with fractional-type dissipation
Barbara Kaltenbacher, Mostafa Meliani, Vanja Nikolić
In this work, we investigate a class of quasilinear wave equations of Westervelt type with, in general, nonlocal-in-time dissipation. They arise as models of nonlinear sound propag…
math.AP2021★ 16 cited
Determining kernels in linear viscoelasticity
Barbara Kaltenbacher, Ustim Khristenko, Vanja Nikolić +2
In this work, we investigate the inverse problem of determining the kernel functions that best describe the mechanical behavior of a complex medium modeled by a general nonlocal vi…