Global classical solutions to the Keller-Segel-Navier-Stokes system with matrix-valued sensitivity (Q1706571)

scientific article; zbMATH DE number 6852182

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English	Global classical solutions to the Keller-Segel-Navier-Stokes system with matrix-valued sensitivity	scientific article; zbMATH DE number 6852182

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instance of

scholarly article

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title

Global classical solutions to the Keller-Segel-Navier-Stokes system with matrix-valued sensitivity (English)

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Journal of Mathematical Analysis and Applications

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publication date

22 March 2018

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zbMATH Keywords

chemotaxis

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Keller-Segel system

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Navier-Stokes equation

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global solutions

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decay estimates

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MaRDI profile type

Publication

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full work available at URL

https://doi.org/10.1016/j.jmaa.2017.12.048

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cites work

Toward a mathematical theory of Keller–Segel models of pattern formation in biological tissues

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Blow-up, Concentration Phenomenon and Global Existence for the Keller–Segel Model in High Dimension

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Global bounded solutions of the higher-dimensional Keller-Segel system under smallness conditions in optimal spaces

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Global classical solutions in chemotaxis(-Navier)-Stokes system with rotational flux term

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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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Existence of smooth solutions to coupled chemotaxis-fluid equations

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Global Existence and Temporal Decay in Keller-Segel Models Coupled to Fluid Equations

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Chemotaxis-fluid coupled model for swimming bacteria with nonlinear diffusion: global existence and asymptotic behavior

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Global Solutions to the Coupled Chemotaxis-Fluid Equations

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A Note on Global Existence for the Chemotaxis–Stokes Model with Nonlinear Diffusion

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Q4167065

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The development of concentration gradients in a suspension of chemotactic bacteria

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From 1970 until present: The Keller-Segel model in chemotaxis and its consequences. I

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Blow-up in a chemotaxis model without symmetry assumptions

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Boundedness vs. blow-up in a chemotaxis system

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Global existence and boundedness for chemotaxis-Navier-Stokes systems with position-dependent sensitivity in 2D bounded domains

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Initiation of slime mold aggregation viewed as an instability

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Traveling bands of chemotactic bacteria: a theoretical analysis

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Existence and uniqueness theorem on mild solutions to the Keller-Segel system coupled with the Navier-Stokes fluid

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Global small-data solutions of a two-dimensional chemotaxis system with rotational flux terms

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A coupled chemotaxis-fluid model: global existence

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COUPLED CHEMOTAXIS FLUID MODEL

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Bacterial bioconvection: weakly nonlinear theory for pattern selection

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Nondegeneracy of blow-up points for the parabolic Keller-Segel system

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A semilinear parabolic-elliptic chemotaxis system with critical mass in any space dimension

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Wellposedness and regularity for a degenerate parabolic equation arising in a model of chemotaxis with nonlinear sensitivity

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Q4872331

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

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Chemotactic collapse in a parabolic system of mathematical biology

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Q4381941

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The diffusion limit of transport equations. II: Chemotaxis equations

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Random walk with persistence and external bias

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Chemotactic collapse in a parabolic-elliptic system of mathematical biology

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Decay estimates of the coupled chemotaxis-fluid equations in \(R^3\)

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Global existence and boundedness in a Keller-Segel-Stokes model with arbitrary porous medium diffusion

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Eventual smoothness and stabilization of large-data solutions in a three-dimensional chemotaxis system with consumption of chemoattractant

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Locally bounded global solutions in a three-dimensional chemotaxis-Stokes system with nonlinear diffusion

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Bacterial swimming and oxygen transport near contact lines

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Global classical solutions of a 3D chemotaxis-Stokes system with rotation

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Global existence and boundedness in a Keller-Segel-Stokes system involving a tensor-valued sensitivity with saturation

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Global existence and boundedness in a Keller-Segel-Stokes system involving a tensor-valued sensitivity with saturation: the 3D case

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

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

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Finite-time blow-up in the higher-dimensional parabolic-parabolic Keller-Segel system

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Stabilization in a two-dimensional chemotaxis-Navier-Stokes system

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Global weak solutions in a three-dimensional chemotaxis-Navier-Stokes system

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Macroscopic equations for bacterial chemotaxis: integration of detailed biochemistry of cell signaling

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Multiscale Models of Taxis-Driven Patterning in Bacterial Populations

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Existence and decay of global smooth solutions to the coupled chemotaxis-fluid model

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Global boundedness of solutions to a Keller-Segel system with nonlinear sensitivity

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Boundedness of solutions to a fully parabolic Keller-Segel system with nonlinear sensitivity

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Convergence rates of solutions for a two-dimensional chemotaxis-Navier-Stokes system

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Global weak solutions for the three-dimensional chemotaxis-Navier-Stokes system with nonlinear diffusion

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Global well-posedness for the two-dimensional incompressible chemotaxis-Navier-Stokes equations

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Identifiers

zbMATH Open document ID

1390.35381

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Mathematics Subject Classification ID

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10.1016/J.JMAA.2017.12.048

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Sitelinks

Mathematics(1 entry)

mardi Publication:1706571