Title: Fluid dynamics and mathematical tools
Speaker: Saleh Tanveer
Abstract: Fluid Dynamics as a mathematical subject goes back to Euler and Langrange. Unlike some areas of physics, where the governing equations are for debate, in fluid dynamics, the equations are well-established. The obstacle in our understanding has always been the complexity of the equations and the varied type of behavior it exhibits in different limits and different geometries.
The tools of mathematics that are widely used are 1. Computational tools, 2. PDE analysis, 3. Asymptotics, and 4. complex variable techniques.
Will illustrate these through a number of examples.
Note: This is part of the Invitations to Mathematics lecture series given each year in Autumn Semester. Pre-candidacy PhD students can sign up for this lecture series by registering for one or two credit hours of Math 6193 with Professor Nimish Shah.
