Institute of Mathematics

The address of the lecture hall is: Beatrice-Edgell-Weg 21, 97074 Würzburg. For a map see accomodation.


lecture notes:



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.

These are the slides of Eduard Feireisl: view PDF

These are the slides of Simon Markfelder: view PDF

These are the notes of Constantine Dafermos:   view PDF

These are the slides and the notes of Sara Daneri:   view PDF  view PDF

The fee for the fall school is 150 €.  This include lunches, coffee breaks, a guided tour and the Fall School dinner party.

for lecture notes
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Fall School particpants Oct. 3, 2018

Eduard Feireisl        Sara Daneri     Constantine       Christian      

                                                           Dafermos      Klingenberg    Simon Markfelder