G-equations in the modeling of turbulent flame speeds
Yifeng Yu
UCI
Abstract:
Predicting turbulent flame speed ($s_T$) is a fundamental
problem in turbulent combustion theory. Several simplified models have
been proposed to study $s_T$. The G-equation (A Hamilton-Jacobi level set
equation) is a very popular model in turbulent combustion. Two important
projects are (1) establish the theoretical existence of $s_T$ and (2)
determine the dependence of turbulent flame speeds on the turbulence
intensity (think of the relation between the spreading velocity of wild
fire and strength of the wind). In this talk, I will present some
theoretical results under the G-equation model. These are joint works
with Jack Xin.