Geodesic
Renormalized and entropy solutions of nonlinear parabolic systems
Electronic journal of differential equations, Tome 2013 (2013)
In this article, we study the existence of renormalized and entropy solutions of SIR epidemic disease cross-diffusion model with Dirichlet boundary conditions. Under the assumptions of no growth conditions and integrable data, we establish that the renormalized solution is also an entropy solution.
Classification : 35K57, 35K65, 92D30
Keywords: renormalized solutions, entropy solutions, cross-diffusion 
@article{EJDE_2013__2013__a91,
     author = {Shangerganesh,  Lingeshwaran and Balachandran,  Krishnan},
     title = {Renormalized and entropy solutions of nonlinear parabolic systems},
     journal = {Electronic journal of differential equations},
     year = {2013},
     volume = {2013},
     zbl = {1288.35290},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2013__2013__a91/}
}
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AU  - Balachandran,  Krishnan
TI  - Renormalized and entropy solutions of nonlinear parabolic systems
JO  - Electronic journal of differential equations
PY  - 2013
VL  - 2013
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%A Balachandran,  Krishnan
%T Renormalized and entropy solutions of nonlinear parabolic systems
%J Electronic journal of differential equations
%D 2013
%V 2013
%U http://geodesic.mathdoc.fr/item/EJDE_2013__2013__a91/
%G en
%F EJDE_2013__2013__a91
Shangerganesh,  Lingeshwaran; Balachandran,  Krishnan. Renormalized and entropy solutions of nonlinear parabolic systems. Electronic journal of differential equations, Tome 2013 (2013). http://geodesic.mathdoc.fr/item/EJDE_2013__2013__a91/