Critical mass phenomenon in a chemotaxis fluid system (Q6116290)

scientific article; zbMATH DE number 7725793

Language	Label	Description	Also known as
English	Critical mass phenomenon in a chemotaxis fluid system	scientific article; zbMATH DE number 7725793

Statements

instance of

scholarly article

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title

Critical mass phenomenon in a chemotaxis fluid system (English)

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Nonlinear Analysis. Real World Applications

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publication date

11 August 2023

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zbMATH Keywords

chemotaxis fluid

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attraction-repulsion

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free energy functional

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global classical solution

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parabolic-parabolic-elliptic system

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1016/j.nonrwa.2023.103955

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cites work

Initiation of slime mold aggregation viewed as an instability

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Model for chemotaxis

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Infinite time aggregation for the critical Patlak‐Keller‐Segel model in ℝ2

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Q3431715

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Blow-up in a chemotaxis model without symmetry assumptions

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Global existence for the Cauchy problem of the parabolic-parabolic Keller-Segel system on the plane

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

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Q4381941

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An Initial Value Problem from Semiconductor Device Theory

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Q3531367

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Q4659860

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Travelling plateaus for a hyperbolic Keller–Segel system with attraction and repulsion: existence and branching instabilities

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COMPETING EFFECTS OF ATTRACTION VS. REPULSION IN CHEMOTAXIS

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Critical mass for an attraction–repulsion chemotaxis system

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

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Global boundedness in a fully parabolic attraction–repulsion chemotaxis model

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Large-time behavior of an attraction-repulsion chemotaxis system

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Global existence and convergence to steady states for an attraction-repulsion chemotaxis system

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Boundedness and finite-time blow-up in a quasilinear parabolic-elliptic-elliptic attraction-repulsion chemotaxis system

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Finite-time blow-up in the three-dimensional fully parabolic attraction-dominated attraction-repulsion chemotaxis system

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Boundedness, blowup and critical mass phenomenon in competing chemotaxis

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Time global existence and finite time blow-up criterion for solutions to the Keller-Segel system coupled with the Navier-Stokes fluid

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Small-Mass Solutions in the Two-Dimensional Keller--Segel System Coupled to the Navier--Stokes Equations

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Bacterial swimming and oxygen transport near contact lines

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On the $8\pi$-Critical-Mass Threshold of a Patlak--Keller--Segel--Navier--Stokes System

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Global existence of free-energy solutions to the 2D Patlak-Keller-Segel-Navier-Stokes system with critical and subcritical mass

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Q2743226

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On the global existence of solutions to an aggregation model

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Q3260749

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Global Large-Data Solutions in a Chemotaxis-(Navier–)Stokes System Modeling Cellular Swimming in Fluid Drops

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Geometric theory of semilinear parabolic equations

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Heat kernels and maximal lp—lqestimates for parabolic evolution equations

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Abstract $L^ p$ estimates for the Cauchy problem with applications to the Navier-Stokes equations in exterior domains

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Global classical small-data solutions for a three-dimensional chemotaxis Navier-Stokes system involving matrix-valued sensitivities

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Aggregation vs. global diffusive behavior in the higher-dimensional Keller-Segel model

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Identifiers

zbMATH Open document ID

1525.35044

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DOI

10.1016/j.nonrwa.2023.103955

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6116290