Special Session 95: Nonlinear analysis and elliptic boundary value problems

Dissipative gradient nonlinearities prevent blow-up in a class of Keller--Segel models.

Alessandro Columbu
Universit\`a degli Studi di Cagliari
Italy
Co-Author(s):    Tongxing Li; Daniel Acosta Soba; Giuseppe Viglialoro;
Abstract:
We examine a class of attraction-repulsion chemotaxis models, which are defined by nonlinearities in the diffusion of cell density, chemosensitivity, and the production rates of chemoattractants and chemorepellents. Additionally, the model includes a logistic term that also depends on the gradient of the biological distribution. In this presentation, we will establish a condition for their boundedness.