Boundedness in the higher‐dimensional attraction‐repulsion chemotaxis system involving tensor‐valued sensitivity with saturation
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DOI: 10.1002/mma.7049
Abstract: In this paper, we consider the attraction‐repulsion parabolic‐parabolic‐parabolic model with nonlinear diffusion ut=∇·(D(u)∇u)−∇·(uS1(x,u,v)∇v)+∇·(uS2(x,u,w)∇w)+ξu−μu2,x∈Ω,t>0,vt=Δv+αu−βv,x∈Ω,t>0,wt=Δw+γu−δw,x∈Ω,t>0, in a smooth bounded domain Ω⊂ℝn(n≥2) , where α, β, γ, δ, μ are given positive parameters and ξ ≥ 0. The function D satisfies D(u) ≥ CDum − 1 for all… read more here.
Keywords: higher dimensional; boundedness higher; attraction; attraction repulsion ... See more keywords
Global dynamics for an attraction-repulsion chemotaxis model with logistic source
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DOI: 10.1016/j.jde.2019.10.027
Abstract: Abstract In this paper, we investigate attraction-repulsion chemotaxis system with logistic source under homogeneous Neumann boundary conditions in a bounded domain with smooth boundary. Under appropriate regularity assumptions on the initial data, by some L… read more here.
Keywords: repulsion chemotaxis; attraction repulsion; logistic source;
A new result on existence of global bounded classical solution to a attraction-repulsion chemotaxis system with logistic source
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DOI: 10.1016/j.jde.2021.06.040
Abstract: Abstract This paper concerns the existence of bounded classical solutions to the attraction-repulsion chemotaxis system with logistic source (⋆) { u t = Δ u − χ ∇ ⋅ ( u ∇ v ) +… read more here.
Keywords: attraction repulsion; repulsion chemotaxis; chemotaxis system; bounded classical ... See more keywords
An attraction-repulsion chemotaxis system with nonlinear productions
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DOI: 10.1016/j.jmaa.2019.123703
Abstract: Abstract This paper studies the semilinear attraction-repulsion chemotaxis system with nonlinear productions and logistic source: u t = Δ u − χ ∇ ⋅ ( u ∇ v ) + ξ ∇ ⋅ ( u… read more here.
Keywords: nonlinear productions; repulsion chemotaxis; attraction repulsion; chemotaxis system ... See more keywords
Finite-time blow-up in the three-dimensional fully parabolic attraction-dominated attraction-repulsion chemotaxis system
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DOI: 10.1016/j.jmaa.2021.125409
Abstract: Abstract We show that the attraction-repulsion chemotaxis system { u t = Δ u − χ ∇ ⋅ ( u ∇ v 1 ) + ξ ∇ ⋅ ( u ∇ v 2 ) ∂… read more here.
Keywords: finite time; attraction repulsion; repulsion chemotaxis; chemotaxis system ... See more keywords
Origin of the long-ranged attraction or repulsion between intruders in a confined granular medium
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DOI: 10.1017/jfm.2019.1035
Abstract: Zuriguel et al. (Phys. Rev. Lett., vol. 95, 2005a, 258002) and Pacheco-Vázquez and Ruiz-Suárez (Nat. Commun., vol. 1, 2010, p. 123) demonstrated that there exists a long-ranged force between intruders placed at a certain distance… read more here.
Keywords: long ranged; attraction repulsion; origin; force ... See more keywords
An attraction–repulsion transition of force on two asymmetric wedges induced by active particles
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DOI: 10.1038/s41598-020-68677-w
Abstract: Effective interaction between two asymmetric wedges immersed in a two-dimensional active bath is investigated by computer simulations. The attraction–repulsion transition of effective force between two asymmetric wedges is subjected to the relative position of two… read more here.
Keywords: asymmetric wedges; attraction repulsion; repulsion transition; force ... See more keywords