A Discontinuous ODE Model of the Ice-Free Small Ice Cap Oscillation During the Pliocene, by Kotaro Kajita ’21, Math Major

Date, time, location

Date Wednesday, May 5, 2021

Time 1:20 pm to 1:40 pm

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Event Website

In this project we model the oscillations between ice-free and small ice cap earth states of the Pliocene by expanding an energy balance model to include varying CO2 concentration. The resulting non-smooth ordinary differential equation (ODE) model has physical boundaries that must be dealt with so that the appropriate boundary motion is specified. We prove the existence and uniqueness of solutions to this ODE by constructing a solution that projects itself back onto the boundary when the trajectory is pointing out of our region of interest. We then concatenate this with the classical solution in the non-boundary region. Although the solution is no longer smooth due to the boundary, it is non-differentiable at at most finitely many points.

Please contact mathematics@oberlin.edu for the Zoom link to this event.

Sponsored by the Mathematics Honors Lecture Series

Event Contact

Terri Pleska, Administrative Assistant 440-775-8380