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Singular convergence of nonlinear hyperbolic chemotaxis systems to Keller-Segel type models
In this paper we deal with diffusive relaxation limits ofnonlinear systems of Euler type modeling chemotactic movement ofcells toward Keller-Segel type systems. The approximating systemsare either hyperbolic-parabolic or hyperbolic-elliptic. They allfeature a nonlinear pressure term arising from a volumefilling effect which takes into account the fact that cells donot interpenetrate. …