Lagrangian, game theoretic, and PDE methods for averaging G-equations in turbulent combustion: existence and beyond
Jack Xin,
Yifeng Yu,
Paul Ronney
Abstract:G-equations are popular level set Hamilton–Jacobi nonlinear partial differential equations (PDEs) of first or second order arising in turbulent combustion. Characterizing the effective burning velocity (also known as the turbulent burning velocity) is a fundamental problem there. We review relevant studies of the G-equation models with a focus on both the existence of effective burning velocity (homogenization), and its dependence on physical and geometric parameters (flow intensity and curvature effect) throu… Show more
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