Mean-curvature flow with a driving force appears in various mathematical problems such as motion of soap films, grain boundaries and singular limit problems of various reaction diffusion systems, e.g., FitzHugh-Nagumo equation.  In this talk, we show the existence and uniqueness of traveling waves, composed of a Jordan curve (or closed surface), for an anisotropic curvature flow with a driving force. We call such a solution "compact traveling wave" in this talk. Our aim is to investigate the condition of external driving force when the curvature flow has traveling waves.

Note: This seminar will be held as a Zoom online seminar (only NLPDE seminar members may attend in person).