May 26 – 31, 2024
Western University
America/Toronto timezone
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(G*) Stability of a ferrofluid jet

May 27, 2024, 5:15 PM
15m
SSC Rm 2028 (cap. 135) (Social Science Centre, Western U)

SSC Rm 2028 (cap. 135)

Social Science Centre, Western U

Oral Competition (Graduate Student) / Compétition orale (Étudiant(e) du 2e ou 3e cycle) Theoretical Physics / Physique théorique (DTP-DPT) (DTP) M3-2 Quantum and Condensed Matter Theory | Théorie quantique et de la matière condensée (DPT)

Speaker

Karnav Raval (Western University)

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

Author

Karnav Raval (Western University)

Co-author

Dr Olga Trichtchenko (Western University)

Presentation materials

There are no materials yet.