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- W163074245 abstract "A system of three nonlinear ordinary differential equations arising from one-dimensional steady combustion problems is studied. The four singular points in the phase space correspond to equilibrium solutions before and after burning has taken place, and the desired detonation wave is a trajectory connecting two of these points (the cold and hot boundary points). In this paper it is shown that the problem of finding steady detonations is equivalent to proving the existence and uniqueness of a transversal heteroclinic orbit. The presence of a large parameter, the activation energy, makes it possible to show analytically that such an orbit exists for an open set of parameter values. In doing so, it is possible to give a geometric interpretation of the cold boundary difficulty. Some numerical results for lower activation energies are presented." @default.
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- W163074245 date "1982-04-01" @default.
- W163074245 modified "2023-09-27" @default.
- W163074245 title "The Existence of One Dimensional Steady Detonation Waves in a Simple Model Problem" @default.
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- W163074245 doi "https://doi.org/10.1002/sapm1982662121" @default.
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