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Applied Mathematics Seminar 291 (4/21/17)

Date: 
April 21, 2017 - 3:00pm

Shilpa Khatri, University of California, Merced

Abstract:

To understand the fluid dynamics of marine phenomena fluid-structure interaction problems must be solved. Challenges exist in developing analytical and numerical techniques to solve these complex flow problems with boundary conditions at fluid-structure interfaces. I will present details of two different problems where these challenges are handled: (1) modeling of pulsating soft corals and (2) accurate evaluation of layer potentials near boundaries and interfaces. The first problem of pulsating soft corals will be motivated by field and experimental work in the marine sciences. I will discuss these related data and provide comparisons with the modeling. For the second problem of accurate evaluation of layer potentials, I will show how classical numerical methods are problematic for evaluations close to boundaries and how newly developed asymptotic methods can be used to remove the error. To demonstrate this method, I will consider the interior and exterior Laplace problems.

Flyer File

Location

Location: 
Classroom and Office Building 110

Contact Information

Name: 
Boaz Ilan
Title: 
Associate Professor
Department: 
School of Natural Sciences, Mathematics
Address: 
5200 North Lake Rd.
Merced, CA 95343
United States
Address: 
5200 North Lake Rd.
Merced, CA 95343
United States