Rowan Digital Works - STEM Student Research Symposium Posters: Stability Analysis & Analytic Solutions to Unforced Kinematic Property Equations

 

Date of Presentation

4-29-2025 1:00 PM

College

College of Science & Mathematics

Faculty Sponsor(s)

Dr. Helga Huntley

Poster Abstract

We present analytic solutions and a stability analysis for a system of nonlinear coupled differential equations that describe the time evolution of kinematic properties of geophysical fluids. Solution curves in phase space are interestingly hyperbolic, elliptical, or parabolic in nature, depending on the initial conditions we input and have interesting geometrical properties.

Disciplines

Mathematics

Document Type

Poster

Included in

Mathematics Commons

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Apr 29th, 1:00 PM

Stability Analysis & Analytic Solutions to Unforced Kinematic Property Equations

We present analytic solutions and a stability analysis for a system of nonlinear coupled differential equations that describe the time evolution of kinematic properties of geophysical fluids. Solution curves in phase space are interestingly hyperbolic, elliptical, or parabolic in nature, depending on the initial conditions we input and have interesting geometrical properties.