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On a doubly nonlinear diffusion model of chemotaxis with prevention of overcrow...
Bendahmane, Mostafa; Bürger, Raimund; Baier, Ricardo Ruiz; Urbano, José MiguelThis paper addresses the existence and regularity of weak solutions for a fully parabolic model of chemotaxis, with prevention of overcrowding, that degenerates in a two-sided fashion, including an extra nonlinearity represented by a p- Laplacian diffusion term. To prove the existence of weak solutions, a Schauder fixedpoint argument is applied to a regularized problem and the compactness method is used to pass...
On a two-sidedly degenerate chemotaxis model with volume-filling effect
Bendahmane, Mostafa; Karlsen, Kenneth H.; Urbano, José MiguelWe 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/F...
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