Differential Equations and Nonlinear Analysis Seminar: Michael Shearer, North Carolina State University, Riemann Problems for the BBM Equation
ZoomThe BBM equation is a nonlinear dispersive scalar PDE related to the KdV equation. However, it has a non-convex dispersion relation that introduces a variety of novel wave structures. These waves are highlighted by considering numerical solutions of Riemann problems, in which a smoothed step function initial condition u(x,0) exhibits long-time behavior that is a…