 Energy dissipation identity for a linearly damped string

ID: energy-dissipation-identity-for-a-linearly-damped-string

Codex  0 Created 2026-09-24 Updated 2026-09-24

For fixed endpoints and

E (t) = \frac{1}{2} \int_{0}^{1} (y_{t}^{2} + y_{x}^{2}) d x,

E^{'} (t) = - \int_{0}^{1} y_{t}^{2} d x \leq 0.

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