Yadhavan Karuppusamy, Shangerganesh Lingeshwaran, Manimaran Jeyaraj
Abstract:
In this work, we proposed a model that describes the influence of two
chemically opposed stimuli in the movement of species living in a fluid
environment. We investigated the well-posedness of a system that models
the attraction-repulsion chemotaxis Navier-Stokes system with nonlinear
diffusion. We validate the existence of a global three-dimensional
weak solution. Furthermore, with some restrictions on the nonlinear
exponent and degradation coefficients of the chemical signal,
we established the existence of a three-dimensional global bounded weak
solutions for the system.
Submitted May 24, 2024. Published November 25, 2024.
Math Subject Classifications: 35Q30, 35K57, 35D30, 92C17.
Key Words: Attraction-repulsion; chemotaxis; Navier-Stokes; weak solution.
DOI: 10.58997/ejde.2024.75
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Yadhavan Karuppusamy Department of Applied Sciences National Institute of Technology Goa Cuncolim - 403 703, Goa, India email: yadhavan@nitgoa.ac.in |
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Shangerganesh Lingeshwaran Department of Applied Sciences National Institute of Technology Goa Cuncolim - 403 703, Goa, India email: shangerganesh@nitgoa.ac.in |
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Manimaran Jeyaraj School of Advanced Sciences Vellore Institute of Technology Chennai- 600 127, Tamil Nadu, India email: manimaran.j@vit.ac.in |
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