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On a two-sidedly degenerate chemotaxis model with volume-filling effect

Abstract

We consider a fully parabolic model for chemotaxis with volume-filling effect and a nonlinear diffusion that degenerates in a two-sided fashion. We address the questions of existence of weak solutions and of their regularity by using, respectively, a regularization method and the technique of intrinsic scaling.Outstanding Young Investigators Award from the Research Council of Norway; (J. M. Urbano) CMUC/FCT, Project POCI/MAT/57546/200

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