Long-time dynamics of the sine-Gordon equation

Math Physics Seminar
Thursday, March 2, 2023 - 12:00pm for 1 hour (actually 50 minutes)
Skiles 005
Gong Chen – School of Mathematics, Georgia Tech – gc@math.gatech.edu
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.