Critical Thresholds in Nonlinear Balance Laws


Title: Critical Thresholds in Nonlinear Balance Laws

Speaker: Prof. Hailiang Liu, Iowa State University, USA

Time: 10:00-11:00am, 16 May, 2018

Place: No.613, South Building

Abstract:  In many mathematical models of physical reality, coherent structures are formed and maintained by a balance of competing influences. We study how such competing effects lead to critical solution behavior. Our approach is to identify critical thresholds of initial data that lead to either global regularity or finite time breakdown in solutions to a class of nonlinear balance laws. In this talk, I shall assess the state of the art, and gaps that need filling in the investigation of critical threshold phenomena.