NCTS(South)/ NCKU Math Colloquium


DATE2012-03-16¡@16:10-17:00

PLACER204, 2F, NCTS, NCKU

SPEAKERMr. Yu-Yu Liu (¼B¨|¦ö¥ý¥Í)¡]University of California, Irvine, USA¡^

TITLETurbulent Flame Speeds of G-equations in Cellular Flows

ABSTRACT Turbulent combustion is a complex nonlinear phenomenon. To analyze and compute the flame propagation speed is a fundamental issue in combustion theory. By level set formulation, G-equation describes the motion of the flame front by a laminar speed and a velocity field. We aim to study turbulent flame speeds modeled by G-equations and cellular flows, in particular their dependence on the intensity of the advection. Various approaches will be introduced, including homogenization theory, control theory and numerical computation. Due to flame stretching, curvature and strain rate may be added into the laminar speed. In strong advection regime, we wonder if these nonlinear effects cause front speed bending or flame quenching.