Speaker
Description
Analyzing the long term behaviour of solutions to a model gives insight on the physical relevance and numerical stability of the solutions. In our work, we consider the formulation presented by Blyth and Părău (2019), in which they derive the water-wave problem exclusively in terms of the free-boundary of a cylindrical geometry, and use it to solve for periodic travelling waves on the surface of a ferrofluid jet. We use this formulation to compute travelling waves in various parameter regimes and analyze their stability using the Fourier-Floquet-Hill method — presenting both; our methodology and the numerical stability results of the solutions. This stability analysis technique is an approach generalizable to a wide range of physically-motivated problems, making it a useful method for analyzing the viability of models.
Keyword-1 | stability |
---|---|
Keyword-2 | water waves |