*Online Conference* Analysis of Fluids and Related Topics: Regularized Stokes Immersed Boundary Problem in Two-Dimensions: Well-Posedness, Singular Limit, and Error Estimates, Speaker: Jiajun Tong, University of California, Los Angeles

Thu, Oct 15, 2020, 4:00 pm

Zoom link: https://princeton.zoom.us/j/9148065146

In this talk, we discuss regularized 2-D Stokes immersed boundary problem, inspired by the numerical immersed boundary method. It describes certain regularized motion of a 1-D closed elastic string immersed in a 2-D Stokes flow. We will first discuss its global well-posedness. As the regularization parameter diminishes, we show that the string dynamics will converge to that in an un-regularized problem. Viewing the latter as a benchmark, we derive error estimates under various norms. Our rigorous results not only coincide with existing numerical observations in many aspects, but also imply a potential way of improving the (numerical) accuracy by choosing the regularization suitably.

*Online Conference*

Upcoming Events

*Online Conference* Analysis of Fluids and Related Topics: Traveling wave solutions to the free boundary Navier-Stokes equations, Speaker: Ian Tice, Carnegie Mellon University

*Online Seminar* Graduate Student Seminar: Locally Interacting Markov Chains on Random and Heterogeneous Graphs, Speaker, Mira Gordin

VIRTUAL IDeAS Seminar: Yong Sheng Soh, National University of Singapore

Wed, Mar 17, 2021, 10:30 am
Location: via Zoom - Link TBA