Qualitative analysis of an autocatalytic chemical reaction model with decay
نویسندگان
چکیده
منابع مشابه
Qualitative analysis of an autocatalytic chemical reaction model with decay
In this paper, we revisit a reaction–diffusion autocatalytic chemical reaction model with decay. For higher-order reactions, we prove that the system possesses at least two positive steady-state solutions; hence, it has bistable dynamics similar to the system without decay. For the linear reaction, we determine the necessary and sufficient condition to ensure the existence of a solution. Moreov...
متن کاملSteady states and dynamics of an autocatalytic chemical reaction model with decay
Article history: Received 12 September 2011 Revised 13 March 2012 Available online 26 April 2012
متن کاملBuoyant plumes and vortex rings in an autocatalytic chemical reaction.
Buoyant plumes, evolving free of boundary constraints, may develop well-defined mushroom-shaped heads. In conventional plumes, overturning flow in the head entrains less buoyant fluid from the surroundings as the head rises, robbing the plume of its driving force. We consider here a new type of plume in which the source of buoyancy is an autocatalytic chemical reaction. The reaction occurs at a...
متن کاملDynamics of a Reaction-diffusion System of Autocatalytic Chemical Reaction
The precise dynamics of a reaction-diffusion model of autocatalytic chemical reaction is described. It is shown that exactly either one, two, or three steady states exists, and the solution of dynamical problem always approaches to one of steady states in the long run. Moreover it is shown that a global codimension one manifold separates the basins of attraction of the two stable steady states....
متن کاملConvective fingering of an autocatalytic reaction front.
We report experimental observations of the convection-driven fingering instability of an iodate-arsenous acid chemical reaction front. The front propagated upward in a vertical slab; the thickness of the slab was varied to control the degree of instability. We observed the onset and subsequent nonlinear evolution of the fingers, which were made visible by a pH indicator. We measured the spacing...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Proceedings of the Royal Society of Edinburgh: Section A Mathematics
سال: 2014
ISSN: 0308-2105,1473-7124
DOI: 10.1017/s0308210512001667