Mathematics and Statistics Colloquium (Feb 26)
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Join the Department of Mathematics and Statistics for a colloquium on Thursday, February 26 from 4:00 pm - 5:00 pm in IES 110.
Speaker: Laurel Ohm (University of Wisconsin-Madison)
Title: Dynamics of an elastic filament in 3D Stokes flow
Abstract: Many fundamental biophysical processes, from cell division to cellular motility, involve dynamics of thin structures immersed in a very viscous fluid. We will introduce a family of frameworks for modeling the dynamics of a thin elastic filament immersed in 3D Stokes flow as a curve evolution. In the simplest framework, the coupling between the filament and the surrounding fluid is approximated by a local operator known as resistive force theory. In the most detailed framework, the 3D fluid is coupled to the quasi-1D filament dynamics via a novel type of angle-averaged Neumann-to-Dirichlet operator. In each case, we will mention what we can say from a PDE perspective about immersed filament dynamics.
Bio: Laurel Ohm is an assistant professor in the math department at the University of Wisconsin-Madison. Her research is in analysis of partial differential equations arising in biofluid mechanics, especially relating to fluid-structure interaction and motility at the microscopic level.
Join the Department of Mathematics and Statistics for a colloquium on Thursday, February 26 from 4:00 pm - 5:00 pm in IES 110.
Speaker: Laurel Ohm (University of Wisconsin-Madison)
Title: Dynamics of an elastic filament in 3D Stokes flow
Abstract: Many fundamental biophysical processes, from cell division to cellular motility, involve dynamics of thin structures immersed in a very viscous fluid. We will introduce a family of frameworks for modeling the dynamics of a thin elastic filament immersed in 3D Stokes flow as a curve evolution. In the simplest framework, the coupling between the filament and the surrounding fluid is approximated by a local operator known as resistive force theory. In the most detailed framework, the 3D fluid is coupled to the quasi-1D filament dynamics via a novel type of angle-averaged Neumann-to-Dirichlet operator. In each case, we will mention what we can say from a PDE perspective about immersed filament dynamics.
Bio: Laurel Ohm is an assistant professor in the math department at the University of Wisconsin-Madison. Her research is in analysis of partial differential equations arising in biofluid mechanics, especially relating to fluid-structure interaction and motility at the microscopic level.