Existence of bounded global solutions for fully parabolic attraction-repulsion chemotaxis systems with signal-dependent sensitivities and without logistic source

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dc.contributor.authorChiyo, Yutaro
dc.contributor.authorMizukami, Masaaki
dc.contributor.authorYokota, Tomomi
dc.date.accessioned2022-10-07T19:35:09Z
dc.date.available2022-10-07T19:35:09Z
dc.date.issued2021-09-10
dc.description.abstractThis article concerns the parabolic attraction-repulsion chemo-taxis system with signal-dependent sensitivities ut = ∆u - ∇ ∙ (uχ(v)∇v) + ∇ ∙ (uξ(w)∇w), x ∈ Ω, t > 0, vt = ∆v - v + u, x ∈ Ω, t > 0, wt = ∆w - w + u, x ∈ Ω, t > 0 under homogeneous Neumann boundary conditions and initial conditions, where Ω ⊂ ℝn (n ≥ 2) is a bounded domain with smooth boundary, χ, ξ are functions satisfying certain conditions. Existence of bounded global classical solutions to the system with logistic source and logistic damping have been obtained in [1]. This article establishes the existence of global bounded classical solutions with logistic damping.
dc.description.departmentMathematics
dc.formatText
dc.format.extent10 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationChiyo, Y., Mizukami, M., & Yokota, T. (2021). Existence of bounded global solutions for fully parabolic attraction-repulsion chemotaxis systems with signal-dependent sensitivities and without logistic source. <i>Electronic Journal of Differential Equations, 2021</i>(71), pp. 1-10.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/16201
dc.language.isoen
dc.publisherTexas State University, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2021, San Marcos, Texas: Texas State University and University of North Texas.
dc.subjectChemotaxis
dc.subjectAttraction-repulsion
dc.subjectExistence
dc.subjectBoundedness
dc.titleExistence of bounded global solutions for fully parabolic attraction-repulsion chemotaxis systems with signal-dependent sensitivities and without logistic source
dc.typeArticle

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