Colloquia joint with AMW Chapter of GWU

Stability of Soliton Solutions to the Korteweg-deVries Equation

Speaker:Sarah Raynor is an associate professor of Mathematics at Wake Forest University in Winston-Salem, NC
 
Abstract: In this talk, we introduce the Korteweg-deVries Equation, a canonical nonlinear differential equation modelling the behavior of surface water waves in a long, narrow, shallow canal. We study special solutions to this equation, known as solitons. We are particularly interested in the stability of these special solutions. Several concepts of stability will be introduced and explained.
 
Bio: Sarah Raynor is an associate professor of Mathematics at Wake Forest University in Winston-Salem, NC. After finishing her Ph.D. at MIT in 2003, she spent a year at the Fields Institute in Toronto before beginning her position at Wake Forest. Dr. Raynor is interested in partial differential equations, and particularly in dispersive equations, which model wave phenomena in mathematical physics.