66 citations · 71 across the 7 of their papers we have counts for
9 papers
The Maximal Entropy Measure of Fatou Boundaries
Jane Hawkins, Michael Taylor
We look at the maximal entropy (MME) measure of the boundaries of connected components of the Fatou set of a rational map of degree greater than or equal to 2. We show that if ther…
Euler Equation on a Rotating Surface
Michael Taylor, Jeremy L. Marzuola
We study 2D Euler equations on a rotating surface, subject to the effect of the Coriolis force, with an emphasis on surfaces of revolution. We bring in conservation laws that yield…
Higher Dimensional Vortex Standing Waves for Nonlinear Schr{ö}dinger Equations
Jeremy L. Marzuola, Michael E. Taylor
We study standing wave solutions to nonlinear Schr{ö}dinger equations, on a manifold with a rotational symmetry, which transform in a natural fashion under the group of rotations.…
Nonlinear bound states on weakly homogeneous spaces
Hans Christianson, Jeremy Marzuola, Jason Metcalfe +1
We prove the existence of ground state solutions for a class of nonlinear elliptic equations, arising in the production of standing wave solutions to an associated family of nonlin…
The Complex Frobenius Theorem for Rough Involutive Structures
C. Denson Hill, Michael Taylor
We establish a version of the complex Frobenius theorem in the context of a complex subbundle S of the complexified tangent bundle of a manifold, having minimal regularity. If the…
Vanishing Viscosity Limits and Boundary Layers for Circularly Symmetric 2D Flows
M. C. Lopes Filho, A. L. Mazzucato, H. J. Nussenzveig Lopes +1
We continue the work of Lopes Filho, Mazzucato and Nussenzveig Lopes [LMN], on the vanishing viscosity limit of circularly symmetric viscous flow in a disk with rotating boundary,…