14 citations · 16 across the 4 of their papers we have counts for
6 papers
Inertia suppresses signatures of activity of active Brownian particles in a harmonic potential
Angelica Arredondo, Catania Calavitta, Mauricio Gomez +3
A harmonically trapped active Brownian particle exhibits two types of positional distributions -- one has a single peak, the other has a single well -- that signify steady-state dy…
Stochastic force dynamics of the model microswimmer Chlamydomonas reinhardtii: Active forces and energetics
Corbyn Jones, Mauricio Gomez, Ryan M. Muoio +4
We study the stochastic force dynamics of a model microswimmer (Chlamydomonas reinhardtii), using a combined experimental, theoretical, and numerical approach. While swimming dynam…
A Continuation Method for Computing Constant Mean Curvature Surfaces with Boundary
Nicholas D. Brubaker
Defined mathematically as critical points of surface area subject to a volume constraint, constant mean curvatures (CMC) surfaces are idealizations of interfaces occurring between…
Numerically destabilizing minimal discs
Nicholas Brubaker, Thomas Murphy, K. Oskar Negron
When calculating the index of a minimal surface, the set of smooth functions on a domain with compact support is the standard setting to describe admissible variations. We show tha…
Analysis of a one-dimensional prescribed mean curvature equation with singular nonlinearity
Nicholas D. Brubaker, John A. Pelesko
In this paper we analyze the classical solution set (λ,u), for λ>0, of a one-dimensional prescribed mean curvature equation on the interval [-L,L]. It is shown that the solution se…
Analysis of the singular solution branch of a prescribed mean curvature equation with singular nonlinearity
Nicholas D. Brubaker, Alan E. Lindsay
The existence and multiplicity of solutions to a quasilinear, elliptic partial differential equation (PDE) with singular non-linearity is analyzed. The PDE is a recently derived va…