- Series
- Math Physics Seminar
- Time
- Thursday, March 2, 2023 - 12:00pm for 1 hour (actually 50 minutes)
- Location
- Skiles 005
- Speaker
- Gong Chen – School of Mathematics, Georgia Tech – gc@math.gatech.edu
- Organizer
- Michael Loss
I will discuss the soliton resolution and asymptotic stability problems for the sine-Gordon equation. It is known that the obstruction to the asymptotic stability for the sine-Gordon equation in the energy space is the existence of small breathers which is also closely related to the emergence of wobbling kinks. Our stability analysis gives a criterion for the weight which is sharp up to the endpoint so that the asymptotic stability holds. This is joint work with Jiaqi Liu and Bingying Lu.