Global existence of solutions to the 4D attraction–repulsion chemotaxis system and applications of Brezis–Merle inequality (Q6050832)

scientific article; zbMATH DE number 7749174

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English	Global existence of solutions to the 4D attraction–repulsion chemotaxis system and applications of Brezis–Merle inequality	scientific article; zbMATH DE number 7749174

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instance of

scholarly article

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title

Global existence of solutions to the 4D attraction–repulsion chemotaxis system and applications of Brezis–Merle inequality (English)

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12 October 2023

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zbMATH Keywords

global existence

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Brezis-Merle inequality

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rearrangement

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chemotaxis

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attraction-repulsion

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elliptic-elliptic-parabolic system

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1088/1361-6544/acf6ee

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cites work

Q4073917

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Existence and nonexistence of solutions for a model of gravitational interaction of particles, III

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Asymptotically self-similar global solutions of the nonlinear Schrödinger and heat equations

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Global solutions of some chemotaxis and angiogenesis system in high space dimension

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Application of an Adams type inequality to a two-chemical substances chemotaxis system

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Blowup of solutions to a two-chemical substances chemotaxis system in the critical dimension

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On the Navier-Stokes initial value problem. I

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Finite-time blow-up for the attractive dominant case of an attraction-repulsion chemotaxis system in the whole space.

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Local well-posedness and finite time blow-up of solutions to an attraction-repulsion chemotaxis system in higher dimensions

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Boundedness of solutions to an attraction-repulsion chemotaxis model in \(\mathbb{R}^2\)

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Boundedness of the attraction-repulsion Keller-Segel system

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Large time behavior of the full attraction-repulsion Keller-Segel system in the whole space

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Global stabilization of the full attraction-repulsion Keller-Segel system

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Initiation of slime mold aggregation viewed as an instability

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Local existence and finite time blow-up of solutions in the 2-D Keller-Segel system

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Finite time blow-up of the solution for a nonlinear parabolic equation of drift-diffusion type.

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Finite time blow up for a solution to system of the drift-diffusion equations in higher dimensions

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Chemotactic signaling, microglia, and Alzheimer's disease senile plaques: Is there a connection?

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Blowup of nonradial solutions to parabolic-elliptic systems modeling chemotaxis in two-dimensional domains

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Global existence and decay estimates of solutions to a parabolic-elliptic system of drift-diffusion type in \(\mathbb R^2\).

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BREZIS–MERLE INEQUALITIES AND APPLICATION TO THE GLOBAL EXISTENCE OF THE CAUCHY PROBLEM OF THE KELLER–SEGEL SYSTEM

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Global Existence of Solutions to a Parabolic-Elliptic System of Drift-Diffusion Type in R2

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Global existence of solutions to a parabolic attraction-repulsion chemotaxis system in \(\mathbb{R}^2\): the attractive dominant case

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Boundedness of solutions to a parabolic attraction-repulsion chemotaxis system in \(\mathbb{R}^2\): the attractive dominant case

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Global existence of solutions to the Cauchy problem for an attraction-repulsion chemotaxis system in \(\mathbb{R}^2\) in the attractive dominant case

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Global existence of solutions to a two dimensional attraction-repulsion chemotaxis system in the attractive dominant case with critical mass

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Q4963466

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Non-uniform bound and finite time blow up for solutions to a drift–diffusion equation in higher dimensions

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Random walk with persistence and external bias

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Sharp Adams-type inequalities in ℝⁿ

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Well-posedness for a model derived from an attraction-repulsion chemotaxis system

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Global existence of solutions to the Cauchy problem of a two dimensional attraction-repulsion chemotaxis system

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Q4856171

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Global well-posedness and blow-up for the 2-D Patlak-Keller-Segel equation

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Global existence and boundedness of solutions to a parabolic attraction-repulsion chemotaxis system in \(\mathbb{R}^2\): the repulsive dominant case

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Identifiers

zbMATH Open document ID

1525.35011

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DOI

10.1088/1361-6544/acf6ee

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6050832