Applied/Physical Applied Math

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Physical Applied Math Group Meeting

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 Maxey-Riley equation for active particles Time-dependent reciprocal theorem
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).

Archived semesters


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