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We study the
-norm of the function 1 on tubular neighbourhoods of curves in . We take the limit of small thickness, and we prove two different asymptotic results. The first is an asymptotic development for a fixed curve in the limit → 0, containing contributions from the length of the curve (at order
), the ends (
), and the curvature (
). The second result is a Γ-convergence result, in which the central curve may vary along the sequence...
We study the
-norm of the function 1 on tubular neighbourhoods of curves in . We take the limit of small thickness , and we prove two different asymptotic results. The first is an asymptotic development for a fixed curve in the limit → 0, containing contributions from the length of the curve (at order
), the ends (
), and the curvature (
).
The second result is a Γ-convergence result, in which the central curve may vary along the...
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