How do viruses spread or how to model liquidity? Among many other fundamental topics in everyday life or high-level mathematics, this question was in focus at the Workshop on Differential Equations at CEU April 4-6. The workshop grew out of the School in Differential Equations of Professor Gheorghe Morosanu, former head of CEU’s Department of Mathematics and its Applications.
The workshop featured talks by 14 speakers, including five CEU alumni, from universities all over Europe. Sara Daneri from the University of Erlangen-Nunberg discussed dissipative solutions for the Euler equations, Elisabetta Rocca from the University of Pavia spoke about dissipative solutions for a hyperbolic system arising in liquid crystals modeling, Martina Hofmanova from the University of Bielefeld introduced stationary solutions to the stochastic compressible Navier-Stokes system, and Eduard Feireisl from Charles University gave an in-depth review of a measure theoretic approach to fluid mechanics.
Leibniz Prize Laureate and ERC grant holder Laszlo Szekelyhidi from the University of Leipzig, discussed convex integration in fluid dynamics, a method that goes back to Nobel and Abel Prize laureate John Nash. By developing an ingenious variant of this method together with co-authors, Szekelyhidi managed to solve one of the central questions in differential equations.