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\textbf{SPEAKER}:
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%\textbf{SPEAKER}:
Yifeng Yu, University of California, Irvine
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{\bf TITLE}:
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 Existence of effective burning velocity in cellular flow for
curvature G-equation
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{\bf ABSTRACT:}\\
G-equation is a popular level set model in turbulent
combustion, and
becomes an advective mean curvature type evolution equation when the
curvature effect is considered:
$$
G_t + \left(1-d\, {\rm Div}{\frac{DG}{|DG|}}\right)_+|DG|+V(x)\cdot DG=0.
$$
In this talk, I will show the existence of effective burning velocity
under the above curvature G-equation model when $V$ is a two
dimensional cellular flow. Our proof combines  PDE methods with a
dynamical analysis of the
Kohn-Serfaty deterministic game characterization of the curvature
G-equation based on the special structure of the cellular flow. This is
a joint with Hongwei Gao, Ziang Long and Jack Xin.





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