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ON A TWO-SIDEDLY DEGENERATE CHEMOTAXIS MODEL WITH VOLUME-FILLING EFFECT
MOSTAFA BENDAHMANE, KENNETH H. KARLSEN, JOSÉ MIGUEL URBANO
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Source: Crossref
Published: May 1, 2007
DOI: 10.1142/s0218202507002108
Open original source ↗Source 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.
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