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Existence of global solutions for a chemotaxis-fluid system with nonlinear diffusion (Q2804955)

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scientific article; zbMATH DE number 6293814

GLOBAL EXISTENCE OF WEAK SOLUTIONS FOR A KELLER-SEGEL-FLUID MODEL WITH NONLINEAR DIFFUSION

Language	Label	Description	Also known as
English	Existence of global solutions for a chemotaxis-fluid system with nonlinear diffusion	scientific article; zbMATH DE number 6293814	GLOBAL EXISTENCE OF WEAK SOLUTIONS FOR A KELLER-SEGEL-FLUID MODEL WITH NONLINEAR DIFFUSION

Statements

scholarly article

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Existence of global solutions for a chemotaxis-fluid system with nonlinear diffusion (English)

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Journal of Mathematical Physics

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publication date

9 May 2016

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12 May 2014

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full work available at URL

https://arxiv.org/abs/1504.02274

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http://mathnet.or.kr/mathnet/kms_content.php?no=412091

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zbMATH Keywords

Navier-Stokes equations

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porous medium

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Keller-Segel system

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weak solutions

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incompressible fluid

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Keller-Segel model

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nonlinear diffusion

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MaRDI profile type

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

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Existence of smooth solutions to coupled chemotaxis-fluid equations

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Sinking, merging and stationary plumes in a coupled chemotaxis-fluid model: a high-resolution numerical approach

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Existence of global solutions for a chemotaxis-fluid system with nonlinear diffusion

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Global Solutions to the Coupled Chemotaxis-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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Abstract \(L^ p\) estimates for the Cauchy problem with applications to the Navier-Stokes equations in exterior domains

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Global existence of weak solutions to quasilinear degenerate Keller-Segel systems of parabolic-parabolic type

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A coupled chemotaxis-fluid model: global existence

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COUPLED CHEMOTAXIS FLUID MODEL

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A coupled Keller-Segel-Stokes model: global existence for small initial data and blow-up delay

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Global existence and decay properties for a degenerate Keller-Segel model with a power factor in drift term

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

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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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Weak solutions for a bioconvection model related to Bacillus subtilis

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

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Boundedness and large time behavior in a three-dimensional chemotaxis-Stokes system with nonlinear diffusion and general sensitivity

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Identifiers

zbMATH Open document ID

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10.1063/1.4947107

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10.4134/JKMS.2014.51.3.635

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:2804955

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