Electron. J. Diff. Equ., Vol. 2013 (2013), No. 268, pp. 1-24.

Renormalized and entropy solutions of nonlinear parabolic systems

Lingeshwaran Shangerganesh, Krishnan Balachandran

Abstract:
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.

Submitted February 1, 2013. Published December 5, 2013.
Math Subject Classifications: 35K57, 35K65, 92D30.
Key Words: Renormalized solutions; entropy solutions; cross-diffusion.

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Lingeshwaran Shangerganesh
Department of Mathematics, Bharathiar University
Coimbatore - 641 046, India
email: shangerganesh@gmail.com
Krishnan Balachandran
Department of Mathematics, Bharathiar University
Coimbatore - 641 046, India
email: kb.maths.bu@gmail.com

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