Renormalized and entropy solutions of nonlinear parabolic systems
Electronic Journal of Differential Equations, Tome 2013 (2013).

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Summary: 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},
     publisher = {mathdoc},
     volume = {2013},
     year = {2013},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2013__2013__a91/}
}
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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/