3 citations · 4 across the 4 of their papers we have counts for
Showing 2020Show all
3 papers · 1 filter
cond-mat.soft2020★ 3 cited
Good Fibrations: Packing Rules for Diabolic Domains
Randall D. Kamien, Thomas Machon
We describe a theory of packing hyperboloid 'diabolic' domains in bend-free textures of liquid crystals. The domains sew together continuously, providing a menagerie of bend-free t…
math-ph2020
The Godbillon-Vey Invariant as Topological Vorticity Compression and Obstruction to Steady Flow in Ideal Fluids
Thomas Machon
If the vorticity field of an ideal fluid is tangent to a foliation, additional conservation laws arise. For a class of zero-helicity vorticity fields the Godbillon-Vey (GV) invaria…
math-ph2020
The Godbillon-Vey Invariant as a Restricted Casimir of Three-dimensional Ideal Fluids
Thomas Machon
We show the Godbillon-Vey invariant arises as a `restricted Casimir' invariant for three-dimensional ideal fluids associated to a foliation. We compare to a finite-dimensional syst…