The modulus of the annulus between two nested curves is monotonically increasing under curve shortening flow in the plane and on surfaces with curvature bounds.
Sobnack, ‘Geometric regularity properties of the cur ve shortening flow.’ PhD thesis
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Monotonicity of the modulus under curve shortening flow
The modulus of the annulus between two nested curves is monotonically increasing under curve shortening flow in the plane and on surfaces with curvature bounds.