Behavior in time of solutions to a degenerate chemotaxis system with flux limitation

Author:

Marras M.ORCID,Vernier-Piro S.,Yokota T.

Funder

Sardegna Foundation

Francesco Severi National Institute of Higher Mathematics National Group for Mathematical Analysis Probability and their Applications

Publisher

Elsevier BV

Reference21 articles.

1. A degenerate Chemotaxis system with flux limitation: Maximally extended solutions and absence of gradient blow-up;Bellomo;Comm. Partial Differential Equations,2017

2. Initiation of slime mold aggregation viewed as an instability;Keller;J. Theoret. Biol.,1970

3. Toward a mathematical theory of Keller–Segel model of pattern formation in biological tissues;Bellomo;Math. Models Methods Appl. Sci.,2015

4. Boundedness and finite time collapse in a Chemotaxis system with volume filling effect;Winkler;Nonlinear Anal.,2010

5. A refined criterion and lower bounds for the blow-up time in a parabolic–elliptic Chemotaxis system with nonlinear diffusion;Marras;Nonlinear Anal.,2019

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