Geodesic
Reaction-diffusion system of equations in non-stationary medium and arbitrary non-smooth domains
Electronic journal of differential equations, Tome 2010 (2010)
A system of non-linear partial differential equations describing one-step irreversible reaction, reactant to product, in a non-stationary medium and non-smooth domain is considered. After obtaining the necessary a priori estimates, the existence of a unique local strong solution to the system is proved using a fixed point theorem.
Classification : 35B40, 35K57, 80A25
Keywords: irreversible reaction, reactant diffusivity, thermal conductivity, a priori estimates, Banach's fixed point theorem 
@article{EJDE_2010__2010__a214,
     author = {Sanni,  Sikiru Adigun},
     title = {Reaction-diffusion system of equations in non-stationary medium and arbitrary non-smooth domains},
     journal = {Electronic journal of differential equations},
     year = {2010},
     volume = {2010},
     zbl = {1191.35079},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2010__2010__a214/}
}
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JO  - Electronic journal of differential equations
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%A Sanni,  Sikiru Adigun
%T Reaction-diffusion system of equations in non-stationary medium and arbitrary non-smooth domains
%J Electronic journal of differential equations
%D 2010
%V 2010
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%F EJDE_2010__2010__a214
Sanni,  Sikiru Adigun. Reaction-diffusion system of equations in non-stationary medium and arbitrary non-smooth domains. Electronic journal of differential equations, Tome 2010 (2010). http://geodesic.mathdoc.fr/item/EJDE_2010__2010__a214/