57 citations · 75 across the 4 of their papers we have counts for
9 papers
On the trajectory of the nonlinear pendulum: Exact analytic solutions via power series
W. Cade Reinberger, Morgan S. Holland, Nathaniel S. Barlow +1
We provide an exact infinite power series solution that describes the trajectory of a nonlinear simple pendulum undergoing librating and rotating motion for all time. Although the…
The Rayleigh collapse of two spherical bubbles
Anthony Harkin, Adam Giammarese, Nathaniel S. Barlow +1
The inertial collapse of two interacting and non-translating spherical bubbles of equal size is considered. The exact analytic solution to the nonlinear ordinary differential equat…
On the shape of air-liquid interfaces with surface tension that bound rigidly-rotating liquids in partially filled containers
Enrique Ramé, Steven J. Weinstein, Nathaniel S. Barlow
The interface shape of a fluid in rigid body rotation about its axis and partially filling the container is often the subject of a homework problem in the first graduate fluids cla…
The effect of pressure fluctuations on the shapes of thinning liquid curtains
Bridget M. Torsey, Steven J. Weinstein, David S. Ross +1
We consider the time-dependent response of a gravitationally-thinning inviscid liquid sheet (a coating curtain) leaving a vertical slot to sinusoidal ambient pressure disturbances.…
Analytic solution of the SEIR epidemic model via asymptotic approximant
Steven J. Weinstein, Morgan S. Holland, Kelly E. Rogers +1
An analytic solution is obtained to the SEIR Epidemic Model. The solution is created by constructing a single second-order nonlinear differential equation in and analytical…
Accurate closed-form solution of the SIR epidemic model
Nathaniel S. Barlow, Steven J. Weinstein
An accurate closed-form solution is obtained to the SIR Epidemic Model through the use of Asymptotic Approximants (Barlow et. al, 2017, Q. Jl Mech. Appl. Math, 70 (1), 21-48). The…