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5-7 July 2023
Alpen-Adria-Universität Klagenfurt
Europe/Vienna timezone

Wave phenomena governed by fractional Moore-Gibson-Thompson equations

6 Jul 2023, 14:10
25m
HS 3 (University of Klagenfurt)

HS 3

University of Klagenfurt

Speaker

Mostafa Meliani (Radboud University)

Description

In acoustics, higher-order-in-time equations arise when taking into account a class of (fractional) thermal relaxation laws in the modeling of sound wave propagation. In this talk, we will discuss the analysis of initial boundary value problems for a family of such equations and determine the behavior of solutions as the relaxation time vanishes. The studied model can be viewed as a generalization of the well-established (fractional) Moore--Gibson--Thompson equation with three, in general nonlocal, convolution terms involving two different kernels. The interplay of these convolutions will influence the uniform analysis and the limiting procedure.

Primary author

Mostafa Meliani (Radboud University)

Presentation Materials

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