Geodesic
Reaction-diffusion system of equations in non-stationary medium and arbitrary non-smooth domains
Electronic Journal of Differential Equations, Tome 2010 (2010).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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 
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     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},
     publisher = {mathdoc},
     volume = {2010},
     year = {2010},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2010__2010__a14/}
}
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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__a14/