Applied and Computational Mathematics Seminar

Seminar Details

Speaker:
Anthony Bonfils
Affiliation:
University of Limerick
Title:
Waves and wrinkles through the lens of asymptotic analysis
Time:
1PM Friday, 11 April 2025
Location:
Science East E0.32

The linear stability of a two-fluid interface forced by a shear flow, or of a floating elastic sheet under confinement, is characterized by an eigenvalue problem. In the first case, the problem is dynamic and of second order. In the other case, it is static and of fourth order. I will show how asymptotic methods provide a physical insight on the various solutions of both problems, and subsequently on the phenomenology of waves and wrinkles.

References:

J. Fluid Mech., 944:A8, 2022
J. Fluid Mech., 976:A19, 2023
Soft Matter, 19, 8729, 2023

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