# Finite-time blow-up prevention in a two-dimensional chemotaxis-consumption model with weakly singular sensitivity

## TL;DR

This paper establishes conditions under which solutions to a 2D chemotaxis-consumption model with singular sensitivity remain globally bounded, preventing finite-time blow-up.

## Contribution

It provides new sufficient conditions ensuring global existence of classical solutions in a chemotaxis model with weakly singular sensitivity.

## Key findings

- Global solutions exist under certain data conditions.
- Finite-time blow-up is excluded with the given criteria.
- The model's well-posedness is confirmed for specified parameters.

## 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.