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Existence of Solutions for Steady Detonation of Gas Suspensions

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Abstract

The existence of solutions of the traveling–wave type is studied for a system of equations that describes a one–dimensional motion of a suspension of evaporating particles in a viscous and heat–conducting chemically reacting gas. Using topological methods, it is shown that solutions corresponding to weak, strong, and Chapman—Jouguet detonation exist under certain restrictions on energy release and mass transfer.

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Voronin, D.V. Existence of Solutions for Steady Detonation of Gas Suspensions. Journal of Applied Mechanics and Technical Physics 41, 996–1002 (2000). https://doi.org/10.1023/A:1026690102868

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