Global existence in a two-dimensional chemotaxis-consumption model with weakly singular sensitivity

Viglialoro, Giuseppe
2019-01-01

Abstract

In this paper we study a two-dimensional chemotaxis-consumption system with singular sensitivity and endowed with Neumann boundary conditions. Sufficient conditions on the data of the problem are given so that the globability of classical solutions is shown, thus excluding any finite-time blow-up scenario.
2019
chemotaxis; global existence; nonlinear parabolic systems; singular sensitivity; applied mathematics
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