Applied/Physical Applied Math/Fall2024
Fall 2024
| Date | Speaker | Title |
|---|---|---|
| Sep 11 | Spagnolie | Growth and buckling of filaments in viscous fluids, Part I |
| Sep 18 | Ohm | Rods in flows: from geometry to fluids |
| Sep 25 | – | |
| Oct 2 | Arthur Young (Rycroft Group) | Multiphase Taylor–Couette flow transitions |
| Oct 9 | Albritton | I thought we already knew everything about shear flows? |
| Oct 16 | Chandler | Investigating active liquid crystals using an immersed deformable body |
| Oct 23 | Ohm | |
| Oct 30 | Thiffeault | |
| Nov 6 | – | |
| Nov 13 | Ahmad Zaid Abassi
(UC Berkeley) |
Finite-depth standing water waves: theory, computational algorithms, and rational approximations |
| Nov 20 | Jingyi Li | Arrested development and traveling waves of active suspensions in nematic liquid crystals |
| Nov 27 | Thanksgiving |
Abstracts
Ahmad Abassi, University of California, Berkeley
Title: Finite-depth standing water waves: theory, computational algorithms, and rational approximations
We generalize the semi-analytic standing-wave framework of Schwartz and Whitney (1981) and Amick and Toland (1987) to finite-depth standing gravity waves. We propose an appropriate Stokes-expansion ansatz and iterative algorithm to solve the system of differential equations governing the expansion coefficients. We then present a more efficient algorithm that allows us to compute the asymptotic solution to higher orders. Finally, we conclude with numerical simulations of the algorithms implemented in multiple-precision arithmetic on a supercomputer to study the effects of small divisors and the analytic properties of rational approximations of the computed solutions. This is joint work with Jon Wilkening (UC Berkeley).
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