- Series
- PDE Seminar
- Time
- Tuesday, September 4, 2018 - 3:00pm for 1 hour (actually 50 minutes)
- Location
- Skiles 006
- Speaker
- Yuming Paul Zhang – UCLA – http://www.math.ucla.edu/~yzhangpaul/
- Organizer
- Yao Yao
We consider a class of nonlinear, degenerate drift-diffusion equations in R^d. By a scaling argument, it is widely believed that solutions are uniformly Holder continuous given L^p-bound on the drift vector field for p>d. We show the loss of such regularity in finite time for p≤d, by a series of examples with divergence free vector fields. We use a barriers argument.