Asymptotic properties of solutions to equations of fluid dynamics
A talk in the CRC Block Course series by
Eduard Feireisl
| Abstract: | Course abstract: The goal of this lecture series is to give an overview of some recent results and new directions in continuum fluid dynamics. After a brief introduction of the basic system of balance laws, we focus on two iconic examples: The Navier–Stokes(–Fourier) system describing the motion of a general compressible viscous and heat conducting fluid, and the Euler system describing the motion of a perfect fluid, where dissipation effects are neglected. Lecture 1: Fluid equations in the framework of continuum mechanics Abstract: Field equations in fluid mechanics: Conservation/balance law, strong and weak formulation. Constitutive equations. The Navier–Stokes and Euler systems. Weak vs. strong solutions, blow up of strong solutions of the Euler system. Almost explicit solutions to the stationary problem. Well posedness theory – the state-of-the-art, compensated compactness vs. convex integration. You can find the course's PDFs here: http://www.math.cas.cz/homepage/main_page.php?id_membre=37&id_menu=4&id_submenu=13 Join the Zoom meeting: Meeting ID: 951 8289 5697 Passcode: 237029 |