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math-ph2023★ 3 cited
Orthogonal signed-distance coordinates and vector calculus near evolving curves and surfaces
Eric W. Hester, Geoffrey M. Vasil
We provide an elementary derivation of an orthogonal coordinate system for boundary layers around evolving smooth surfaces and curves based on the signed-distance function. We go b…
math-ph2023
A continuum limit for dense spatial networks
Sidney Holden, Geoffrey Vasil
Many physical systems -- such as optical waveguide lattices and dense neuronal or vascular networks -- can be modeled by metric graphs, where slender "wires" (edges) support wave o…