Micro-local and qualitative analysis of the fractional Zener wave equation
Frederik Broucke, Ljubica Oparnica
TL;DR
This paper investigates the fractional Zener wave equation, analyzing its wave front sets and exploring properties like dispersion, dissipation, and wave propagation characteristics.
Contribution
It provides a detailed micro-local and qualitative analysis of the fractional Zener wave equation, including wave front sets and propagation features.
Findings
Determined classical and Gevrey-type wave front sets of the fundamental solution
Analyzed dispersion, dissipation, and wave propagation speed
Explored wave packet shape and qualitative behavior
Abstract
This paper concerns the micro-local and qualitative analysis of the fractional Zener wave equation. The classical and Gevrey-type wave front sets of the fundamental solution are determined, and questions on dispersion, dissipation, wave propagation speed and wave packet shape are addressed.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.