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Global Very Weak Solutions to a Chemotaxis-Fluid System with Nonlinear Diffusion (Q3176429)

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Language	Label	Description	Also known as
English	Global Very Weak Solutions to a Chemotaxis-Fluid System with Nonlinear Diffusion	scientific article

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scholarly article

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Global Very Weak Solutions to a Chemotaxis-Fluid System with Nonlinear Diffusion (English)

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SIAM Journal on Mathematical Analysis

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publication date

20 July 2018

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full work available at URL

https://arxiv.org/abs/1712.00262

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zbMATH Keywords

chemotaxis

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Navier-Stokes

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nonlinear diffusion

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generalized solutions

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global existence

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MaRDI profile type

MaRDI publication profile

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

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New critical exponents in a fully parabolic quasilinear Keller-Segel system and applications to volume filling models

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

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Global existence of weak solutions for the 3D chemotaxis-Navier-Stokes equations

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A user's guide to PDE models for chemotaxis

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Initiation of slime mold aggregation viewed as an instability

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Preventing blow up in a chemotaxis model

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Locally bounded global solutions to a chemotaxis consumption model with singular sensitivity and nonlinear diffusion

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Boundedness in a chemotaxis–haptotaxis model with nonlinear diffusion

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Boundedness and decay property in a three-dimensional Keller-Segel-Stokes system involving tensor-valued sensitivity with saturation

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Global weak solutions in a three-dimensional Keller-Segel-Navier-Stokes system involving a tensor-valued sensitivity with saturation

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On energy inequality, smoothness and large time behavior in L 2 for weak solutions of the Navier-Stokes equations in exterior domains

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The Diffusion Limit of Transport Equations II: Chemotaxis Equations

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Compact sets in the space \(L^ p(0,T;B)\)

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Global Weak Solutions in a PDE-ODE System Modeling Multiscale Cancer Cell Invasion

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A Chemotaxis-Haptotaxis Model: The Roles of Nonlinear Diffusion and Logistic Source

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Boundedness in a quasilinear parabolic-parabolic Keller-Segel system with subcritical sensitivity

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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 Keller–Segel–Navier–Stokes system with subcritical sensitivity

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

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Boundedness for a 3D chemotaxis-Stokes system with porous medium diffusion and tensor-valued chemotactic sensitivity

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

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Does a ‘volume-filling effect’ always prevent chemotactic collapse?

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

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Large-Data Global Generalized Solutions in a Chemotaxis System with Tensor-Valued Sensitivities

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

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Global mass-preserving solutions in a two-dimensional chemotaxis-Stokes system with rotational flux components

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

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Global weak solutions in a three-dimensional Keller-Segel-Navier-Stokes system with nonlinear diffusion

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Identifiers

zbMATH Open document ID

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10.1137/17M1159488

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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:3176429

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