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HTML Summary of #5985
Global Stability of a Premixed Reaction Zone (Time-Dependent Liñan’s Problem)
Global Stability of a Premixed Reaction Zone (Time-Dependent Liñan’s Problem) (PDF)
Global Stability of a Premixed Reaction Zone (Time-Dependent Liñan’s Problem) (Other)
Global Stability of a Premixed Reaction Zone (Time-Dependent Liñan’s Problem) (Other)
Global Stability of a Premixed Reaction Zone (Time-Dependent Liñan’s Problem) (Other)
Global Stability of a Premixed Reaction Zone (Time-Dependent Liñan’s Problem) (Other)
Global Stability of a Premixed Reaction Zone (Time-Dependent Liñan’s Problem) (Other)
Global stability properties of a premixed, three-dimensional reaction zone are considered. In the nonadiabatic case (i.e., when there is a heat exchange between the reaction zone and the burned gases) there is a unique, spatially one-dimensional steady state that is shown to be unstable (respectively, asymptotically stable) if the reaction zone is cooled (respectively, heated) by the burned mixture. In the adiabatic case, there is a unique (up to spatial translations) steady state that is shown to be stable. In addition, the large-time asymptotic behavior of the solution is analyzed to obtain sufficient conditions on the initial data for stabilization. Previous partial numerical results on linear stability of one-dimensional reaction zones are thereby confirmed and extended.
4
21
1990-07
Global Stability of a Premixed Reaction Zone (Time-Dependent Liñan’s Problem)
Aeronautics
Aeronáutica
Física
Physics
Society for Industrial and Applied Mathematics
Vega de Prada
José Manuel
José Manuel Vega de Prada
Alvarez Pereira
Carlos
Carlos Alvarez Pereira
00361410
SIAM Journal on Mathematical Analysis