What is it about?

The article studies Steklov spectral problems in a domain, which is the union of a body and a lot of thin trees that are periodically situated along a manifold on the body boundary, when the number of thin trees infinitely increases.

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Why is it important?

Steklov’s spectral problems have numerous applications in hydrodynamics, electromagnetics, vibration theory, heat transmission, inverse scattering theory, etc.

Perspectives

This article was read more than a hundred times in a week on the journal's website, and we hope that it will encourage many researchers to study similar problems, and ultimately to apply theoretical results to applied research.

Taras Melnyk
Institute of Applied Analysis and Numerical Simulation

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This page is a summary of: Spectral problems with perturbed Steklov conditions in thick junctions with branched structure, Applicable Analysis, March 2024, Taylor & Francis,
DOI: 10.1080/00036811.2024.2322644.
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