Large solutions for compressible Euler equations in one space dimension

Series: 
PDE Seminar
Tuesday, December 9, 2014 - 15:05
1 hour (actually 50 minutes)
Location: 
Skiles 006
,  
Georgia Tech
The existence of large BV (total variation) solution for compressible Euler equations in one space dimension is a major open problem in the hyperbolic conservation laws, where the small BV existence was first established by James Glimm in his celebrated paper in 1964. In this talk, I will discuss the recent progress toward this longstanding open problem joint with my collaborators. The singularity (shock) formation and behaviors of large data solutions will also be discussed.