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Applied Math Seminar: Laurel Ohm (University of Wisconsin Madison)

Event Type: 
Seminar
Speaker: 
Laurel Ohm
Event Date: 
Monday, April 14, 2025 -
3:30pm to 4:30pm
Location: 
SMLC 356 & Zoom
Audience: 
Faculty/StaffStudentsAlumni/Friends

Event Description: 

Title: Free boundary dynamics of an elastic filament in 3D Stokes flow
 
Abstract: Motivated by biophysical applications, we consider a free boundary problem for a thin elastic filament immersed in 3D Stokes flow. The 3D fluid is coupled to the quasi-1D filament dynamics via a novel type of angle-averaged Neumann-to-Dirichlet operator. Much of the difficulty in the analysis lies in understanding this operator. We show that the principal part of this NtD map is the corresponding operator about a straight, periodic filament, for which we derive an explicit symbol. It is then possible to establish local well-posedness for an immersed filament evolving via a simple elasticity law. This establishes a mathematical foundation for the myriad computational results based on slender body approximations for thin immersed elastic structures.

Zoom Information:

https://unm.zoom.us/j/98912959181

Meeting ID: 989 1295 9181
Passcode: 811422

Event Contact

Contact Name: Daniel Gomez

Contact Email: danielgomez@unm.edu