GLOBAL SOLUTIONS FOR A HYPERBOLIC-PARABOLIC SYSTEM OF CHEMOTAXIS

Rafael Granero-Belinchón (1)

1 EDPA - Équations aux dérivées partielles, analyse

We study a hyperbolic-parabolic model of chemotaxis in dimensions one and two. In particular, we prove the global existence of classical solutions in certain dissipation regimes.

Domaines: Equations aux dérivées partielles [math.AP]

Rafael Granero-Belinchón. GLOBAL SOLUTIONS FOR A HYPERBOLIC-PARABOLIC SYSTEM OF CHEMOTAXIS. Journal of Mathematical Analysis and Applications, 2017, 449 (1), pp.872-883. ⟨10.1016/j.jmaa.2016.12.050⟩. ⟨hal-01359674v2⟩