Boundedness in the higher‐dimensional attraction‐repulsion chemotaxis system involving tensor‐valued sensitivity with saturation
Sign Up to like & getrecommendations! Published in 2020 at "Mathematical Methods in the Applied Sciences"
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
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Differential Equations"
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
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Mathematical Analysis and Applications"
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
Demonstration of bonding interaction by attraction and repulsion forces measurement using disc magnets
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DOI: 10.1088/1361-6552/ad2f60
Abstract: Using a 3D-printed device, an Arduino board, and a force sensor, we measured the force interaction as a function of the distance in an apparatus-like ‘magnetic tractor beam’. This apparatus has been designed to demonstrate… read more here.
Keywords: interaction attraction; bonding interaction; demonstration bonding; interaction ... See more keywords
From attraction to repulsion: emergent interactions in harmonically coupled active binary system
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DOI: 10.1088/1751-8121/ae0900
Abstract: We investigate the emergent interactions between two active Brownian particles coupled by an attractive harmonic potential and in contact with a thermal reservoir. By analysing the stationary distribution of their separation, we demonstrate that the… read more here.
Keywords: interactions harmonically; harmonically coupled; repulsion emergent; repulsion ... See more keywords
Global Weak Solution in a p-Laplacian Attraction-Repulsion Chemotaxis System with Nonlinear Sensitivity and Signal Production
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DOI: 10.3390/axioms14080642
Abstract: This paper is devoted to a p-Laplacian attraction–repulsion chemotaxis system with nonlinear sensitivity and signal production. We obtain the global existence and boundedness of weak solutions by means of energy estimates, the Aubin–Lions lemma, and… read more here.
Keywords: nonlinear sensitivity; repulsion chemotaxis; chemotaxis system; laplacian attraction ... See more keywords