The APDE seminar on Monday, 4/10, will be given by Jian Wang (UNC) in-person in Evans 732, and will also be broadcasted online via Zoom from 4:10pm to 5:00pm PST. To participate, please email Federico Pasqualotto (email@example.com) or Mengxuan Yang (firstname.lastname@example.org).
Title: Damping for Fractional Wave Equations
Abstract: Motivated by highly successful numerical methods for damping the surface water wave equations proposed by Clamond et al. (2005), we study the following leading order linear model for damped gravity water waves
\[ \partial_t^2 U + |D| U + \chi \partial_tU = 0 \]
We show that the energy of the solution has polynomial decay by proving a resolvent estimate. Joint work with Thomas Alazard and Jeremy L. Marzuola.