- Series
- PDE Seminar
- Time
- Tuesday, February 11, 2025 - 3:30pm for 1 hour (actually 50 minutes)
- Location
- Skiles 005
- Speaker
- Justin Holmer – Brown University – justin_holmer@brown.edu – https://www.math.brown.edu/jholmer/
- Organizer
- Gong Chen
We prove that negative energy solutions to the modified Benjamin-Ono (mBO) equation, which is L^2 critical, with mass slightly above the ground state mass, blow-up in finite or infinite time. These blow-up solutions lie adjacent to those constructed by Martel & Pilod (2017) that have mass exactly equal to the ground state mass. The solutions that we construct, with mass slightly above the ground state mass, are numerically observable and expected to be stable. This is joint work with Svetlana Roudenko and Kai Yang.