Frequency-dependent damping in the linear wave equation

2025/03/05 by Maddalena, Francesco, Orlando, Gianluca
#35B40 #35L05 #35L20 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2503.03630

Abstract

We propose a model for frequency-dependent damping in the linear wave equation. After proving well-posedness of the problem, we study qualitative properties of the energy. In the one-dimensional case, we provide an explicit analysis for special choices of the damping operator. Finally, we show, in special cases, that solutions split into a dissipative and a conservative part.

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