Brian Seguin

activity

20122025

most citedA transport theorem for nonconvecting open sets on an embedded manifold

2 citations · 5 across the 12 of their papers we have counts for

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math.CA2023★ 1 cited

A definition of fractional k-dimensional measure: bridging the gap between fractional length and fractional area

Cornelia Mihaila, Brian Seguin

Here we introduce a fractional notion of $k$ -dimensional measure, $0 \leq k < n$ , that depends on a parameter $σ$ that lies between $0$ and $1$ . When $k = n - 1$ this coincides with the f…

math.CA2013

Stable and unstable helices: Soap films in cylindrical tubes

Brian Seguin, Eliot Fried

Cox & Jones recently devised and studied an interesting variant of the classical Plateau problem, a variant in which a helical soap film is confined to a cylindrical tube with circ…