Abstract
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.
The work was partially supported by the Air Force Office of Scientific Research and the National Science Foundation under NSF Grant No.CBT 8905838 and the U.S. Department of Energy under Office of Energy Research Grant No. DE-FG02-88ER13822.
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Frankel, M.L. (1991). Free Boundary Problems and Dynamical Geometry Associated with Flames. In: Fife, P.C., Liñán, A., Williams, F. (eds) Dynamical Issues in Combustion Theory. The IMA Volumes in Mathematics and its Applications, vol 35. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-0947-8_5
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DOI: https://doi.org/10.1007/978-1-4612-0947-8_5
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