Free Boundary Problems and Dynamical Geometry Associated with Flames
We introduce several simplified free boundary problems capable of generating basic dynamical patterns that are peculiar to flame propagation. The evolution of free boundaries can in turn be modeled by appropriate equations of dynamical geometry that relate the normal velocity (or higher “normal” time derivatives) of the surface to its instantaneous geometrical characteristics. The discussion is aimed to initiating numerical simulation and rigorous study of these models.
KeywordsFree Boundary Hopf Bifurcation Flame Front Flame Propagation Free Boundary Problem
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