Fall School 2018

The theory of hyperbolic conservation laws and compressible fluid flow equations is at an exciting crossroad now. In conservation laws the one space dimensional theory has reached some level of maturity, well documented in the book by Constantine Dafermos. The one-dimensional theory seems not to carry over to two and three space dimensions, and we are vexed by not really knowing what to do instead. Onsager’s conjecture has been cracked for the incompressible Euler equations, might this give us a hint for the compressible case? This Fall School will attempt to give a comprehensive overview of the current state of developments for (mainly) the two and three dimensional compressible Euler and Navier-Stokes equations. We hope that this will spark new ideas, so that we can move on to a better understanding of what seems to be so impenetrable now.

• Constantine Dafermos (Brown University, Providence, RI, USA)
• Eduard Feireisl (Acadamy of Sciences, Prague, Czech Republic)
• Sara Daneri (Friedrich-Alexander-Universität, Erlangen-Nürnberg, Germany)
• Simon Markfelder (Julius-Maximilians-Universität, Würzburg, Germany)