INTRODUCTION TO FLUID MECHANICS | 02.05.22

This course will introduce the Euler and Navier-Stokes equations, the fundamental equations in Fluid Mechanics, as well as other relevant models in physics and engineering. It will cover a variety of mathematical concepts and techniques that are ubiquitous in Partial Differential Equations of fluid interface problems. For instance, we will study harmonic analysis, singular integrals, maximal regularity of the heat equation, calculus of variations, bifurcation theory and computer assisted-proofs, among others.

No prerequisites are assumed, other than some Real analysis and some basic PDE theory. The course is planned to be adequate for Masters students or higher.

Organizer: Javier Gómez-Serrano (UB)