Prandtl Conjecture and von Neumann Paradox for Shock Reflections

  • Date: 04/25/2007

Tai-Ping Liu (Stanford University)


University of British Columbia


We plan to discuss the two fundamental problems, the Prandtl Conjecture
and von Neumann Paradox, in the theory of supersonic flows with shock
waves. These problems were raised in the first half of the 20th century
and clearly formulated in the classical treaty of Courant-Friedrichs.
There have been spetacular progresses made on one-dimensional shock
wave theory during the second half od 20th century. For the past
several years, serious efforts are made in the study of
multi-dimensional shock wave theory, centered mostly around
aforementioned two problems. These problems involve nonliear partial
differential equations of mixed types and free boundaries. We plan to
discuss the recent progresses and open research directions on these

Other Information: 

10th Anniversary Speaker Series 2007