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Abstract We show that the attraction-repulsion chemotaxis system { u t = Δ u − χ ∇ ⋅ ( u ∇ v 1 ) + ξ ∇ ⋅ ( u… Click to show full abstract
Abstract We show that the attraction-repulsion chemotaxis system { u t = Δ u − χ ∇ ⋅ ( u ∇ v 1 ) + ξ ∇ ⋅ ( u ∇ v 2 ) ∂ t v 1 = Δ v 1 − β v 1 + α u ∂ t v 2 = Δ v 2 − δ v 2 + γ u , posed with homogeneous Neumann boundary conditions in bounded domains Ω = B R ⊂ R 3 , R > 0 , admits radially symmetric solutions which blow-up in finite time if it is attraction-dominated in the sense that χ α − ξ γ > 0 .
Keywords:
finite time;
attraction repulsion;
repulsion chemotaxis;
chemotaxis system;
attraction dominated;
attraction
Journal Title: Journal of Mathematical Analysis and Applications
Year Published: 2021
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Journal Title: Journal of Mathematical Analysis and Applications
Year Published: 2021
Link to full text (if available)
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recommendations!