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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