BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//Talks.cam//talks.cam.ac.uk//
X-WR-CALNAME:Talks.cam
BEGIN:VEVENT
SUMMARY:The Morawetz problem for supersonic flow with cavitation - Simon S
 chulz (Pisa)
DTSTART:20240226T150000Z
DTEND:20240226T160000Z
UID:TALK212221@talks.cam.ac.uk
CONTACT:Dr Greg Taujanskas
DESCRIPTION:We are concerned with the existence and compactness of entropy
  solutions of the compressible Euler system for two-dimensional steady pot
 ential flow around an obstacle for a polytropic gas with supersonic far-fi
 eld velocity. The existence problem\, initially posed by Morawetz in 1985\
 , has remained open since then. In this work\, we establish the first comp
 lete existence theorem for the Morawetz problem by developing a new entrop
 y analysis\, coupled with a vanishing viscosity method and compensated com
 pactness ideas. The main challenge arises when the flow approaches cavitat
 ion\, leading to a loss of strict hyperbolicity of the system and a singul
 arity of the entropy equation. This is joint work with Gui-Qiang Chen and 
 Tristan Giron. 
LOCATION:MR13
END:VEVENT
END:VCALENDAR