Talk by Dr. Bjorn Sandstede

11/5/2019  Wilson Hall 1-144  4:10-5:00pm


Spatially localized planar patterns arise in many natural processes: buckled shells, spots in autocatalytic chemical reactions, crime hotspots, localized fluid structures, and vegetation spots are prominent examples that have attracted much attention. Despite appearing on vastly different scales, these structures often share similar features and properties, and mathematical techniques can help us understand their properties across different systems. In this talk, I will highlight the use of analytical and geometric dynamical-systems techniques to better understand how the shape and form of localized patterns is determined in continuum and discrete media.