Analysis Seminar

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G-Equations in the Modeling of Turbulent Flame Speeds

Speaker: Yifeng Yu, UC Irvine

Location: Warren Weaver Hall 1302

Date: Tuesday, May 1, 2012, 11 a.m.

Synopsis:

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. If time permits, I will also compare it with predictions from a model introduced by Majda and Souganidis.

These are joint works with Jack Xin.