8 citations · 11 across the 3 of their papers we have counts for
3 papers
Loss of Exponential Mixing in a Non-Monotonic Toral Map
Joe Myers Hill, Rob Sturman, Mark C. T. Wilson
We consider a Lebesgue measure preserving map of the 2-torus, given by the composition of orthogonal tent shaped shears. We establish strong mixing properties with respect to the i…
Exponential Mixing by Orthogonal Non-Monotonic Shears
Joe Myers Hill, Rob Sturman, Mark C. T. Wilson
Non-monotonic velocity profiles are an inherent feature of mixing flows obeying non-slip boundary conditions. There are, however, few known models of laminar mixing which incorpora…
A Continuous Family of Non-Monotonic Toral Mixing Maps
Joe Myers Hill, Rob Sturman, Mark C. T. Wilson
We establish the mixing property for a family of Lebesgue measure preserving toral maps composed of two piecewise linear shears, the first of which is non-monotonic. The maps serve…