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October 3, 2025Open Access

Geometry of wave damping on the torus

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This paper reveals how wave damping geometry affects energy decay rates, highlighting damping sets in polygons and curves.

Damping on the torus influences energy decay rates, with geometry near undamped regions playing a crucial role.
Introducing the order of a glancing undamped point allows for precise estimation of decay rates in this system.
This study generalizes a prior argument by Sun to enhance understanding of wave behavior in specific geometric contexts.
The findings indicate that certain damping sets are generically observed in both polygons and smooth curves.

Datchev et al. (2025) studied this question.

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October 3, 2025Open Access

View Full Paper

Ask AI

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Authors

This paper reveals how wave damping geometry affects energy decay rates, highlighting damping sets in polygons and curves.

Damping on the torus influences energy decay rates, with geometry near undamped regions playing a crucial role.
Introducing the order of a glancing undamped point allows for precise estimation of decay rates in this system.
This study generalizes a prior argument by Sun to enhance understanding of wave behavior in specific geometric contexts.
The findings indicate that certain damping sets are generically observed in both polygons and smooth curves.

Datchev et al. (2025) studied this question.

View Full Paper

Ask AI

Bookmark