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Global solvability of chemotaxis–fluid systems with nonlinear diffusion and matrix-valued sensitivities in three dimensions

https://doi.org/10.1016/j.na.2018.10.003

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

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Chemical aspects of mass spawning in corals. I. Sperm-attractant molecules in the eggs of the scleractinian coral Montipora digitata

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Compact sets in the spaceL p (O,T; B)

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Does Fluid Interaction Affect Regularity in the Three-Dimensional Keller–Segel System with Saturated Sensitivity?

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

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Initiation of slime mold aggregation viewed as an instability

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

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

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

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

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Classical solutions to a logistic chemotaxis model with singular sensitivity and signal absorption

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Escherichia coli swim on the right-hand side

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Bacterial swimming and oxygen transport near contact lines

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

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Boundedness in a chemotaxis–haptotaxis model with nonlinear diffusion

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

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

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

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Radial and Spiral Stream Formation in Proteus mirabilis Colonies

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Swimming in Circles: Motion of Bacteria near Solid Boundaries

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Global classical solutions in a two-dimensional chemotaxis-Navier-Stokes system with subcritical sensitivity

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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A New Result for Global Solvability of Keller-Segel-Navier-Stokes System with Nonlinear Diffusion and Matrix-Valued Sensitivities in Three Dimensions

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Global boundedness of solutions for a quasilinear chemotaxis‐Stokes system with nonlinear production

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Eventual smoothness and stabilization of renormalized radial solutions in a chemotaxis consumption system with bounded chemotactic sensitivity

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Existence of global weak solution for a self-consistent Keller–Segel–Navier–Stokes system with tensor-valued sensitivity and signal production in three dimensions

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Maintenance of global boundedness for a 2D chemotaxis-Navier–Stokes system with strengthened cross-diffusion

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Global boundedness in a 2D chemotaxis-Navier–Stokes system with flux limitation and nonlinear production

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Global existence and regularity in a three-dimensional Keller-Segel-Navier-Stokes system with indirect signal production

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Global boundedness of classical solutions to a Keller-Segel-Navier-Stokes system involving saturated sensitivity and indirect signal production in two dimensions

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