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

2018/12/05 by Giuseppe Viglialoro, Viglialoro, Giuseppe
Biochemistry, Genetics and Molecular Biology · Mathematics · #Analysis of PDEs (math.AP) #Cellular Mechanics and Interactions #FOS: Mathematics #Gene Regulatory Network Analysis #Mathematical Biology Tumor Growth

paper · pdf · doi:10.48550/arxiv.1812.02040

openalex publication_date 2018/12/05 · openalex created_date 2022/08/01 · openalex updated_date 2026/07/28

Abstract

In this paper we study a two-dimensional chemotaxis-consumption system with\nsingular sensitivity and endowed with Neumann boundary conditions. Sufficient\nconditions on the data of the problem are given so that the globability of\nclassical solutions is shown, thus excluding any finite-time blow-up scenario.\n

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