Global solvability in a three-dimensional self-consistent chemotaxis-Navier-Stokes system with porous medium diffusion

PDEs in connection with fluid mechanics (35Q35) Weak solutions to PDEs (35D30) Cell movement (chemotaxis, etc.) (92C17) Quasilinear parabolic equations (35K59) Initial-boundary value problems for second-order parabolic systems (35K51)

Cites Work

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Global weak solutions in a three-dimensional chemotaxis-Navier-Stokes system
Global existence and boundedness in a Keller-Segel-Stokes model with arbitrary porous medium diffusion
Global bounded solutions of the higher-dimensional Keller-Segel system under smallness conditions in optimal spaces
Global classical solutions of a 3D chemotaxis-Stokes system with rotation
Chemotaxis-fluid coupled model for swimming bacteria with nonlinear diffusion: global existence and asymptotic behavior
Initiation of slime mold aggregation viewed as an instability
Volume effects in the Keller--Segel model: energy estimates preventing blow-up
Aggregation vs. global diffusive behavior in the higher-dimensional Keller-Segel model
A user's guide to PDE models for chemotaxis
Solutions for semilinear parabolic equations in \(L^ p\) and regularity of weak solutions of the Navier-Stokes system
Compact sets in the space \(L^ p(0,T;B)\)
Geometric theory of semilinear parabolic equations
The Stokes operator in \(L_ R\) spaces
From 1970 until present: The Keller-Segel model in chemotaxis and its consequences. I
Global existence and stabilization in a degenerate chemotaxis-Stokes system with mildly strong diffusion enhancement
A three-dimensional Keller-Segel-Navier-Stokes system with logistic source: global weak solutions and asymptotic stabilization
A model of wound-healing angiogenesis in soft tissue
Locally bounded global solutions in a three-dimensional chemotaxis-Stokes system with nonlinear diffusion
A \(3D\) self-consistent chemotaxis-fluid system with nonlinear diffusion
Boundedness in a quasilinear two-species chemotaxis system with nonlinear sensitivity and nonlinear signal secretion
Analysis of reaction-diffusion models with the taxis mechanism
Global solvability in a two-dimensional self-consistent chemotaxis-Navier-Stokes system
Facing low regularity in chemotaxis systems
Finite-time blow-up in the higher-dimensional parabolic-parabolic Keller-Segel system
Global weak solutions for the three-dimensional chemotaxis-Navier-Stokes system with nonlinear diffusion
Stabilization in a two-dimensional chemotaxis-Navier-Stokes system
Boundedness vs. blow-up in a chemotaxis system
Global boundedness to a 3D chemotaxis-Stokes system with porous medium cell diffusion and general sensitivity
From a multiscale derivation of nonlinear cross-diffusion models to Keller-Segel models in a Navier-Stokes fluid
Long-term behaviour in a chemotaxis-fluid system with logistic source
Bacterial swimming and oxygen transport near contact lines
Large-Data Global Generalized Solutions in a Chemotaxis System with Tensor-Valued Sensitivities
How far do chemotaxis-driven forces influence regularity in the Navier-Stokes system?
Sinking, merging and stationary plumes in a coupled chemotaxis-fluid model: a high-resolution numerical approach
Global Very Weak Solutions to a Chemotaxis-Fluid System with Nonlinear Diffusion
Global existence and boundedness in a chemotaxis‐Stokes system with arbitrary porous medium diffusion
COUPLED CHEMOTAXIS FLUID MODEL
Global weak solutions in a three-dimensional Keller–Segel–Navier–Stokes system with subcritical sensitivity
Global solvability and asymptotic stabilization in a three-dimensional Keller–Segel–Navier–Stokes system with indirect signal production
Chemotaxis and cross-diffusion models in complex environments: Models and analytic problems toward a multiscale vision
Toward a mathematical theory of Keller–Segel models of pattern formation in biological tissues
Global Large-Data Solutions in a Chemotaxis-(Navier–)Stokes System Modeling Cellular Swimming in Fluid Drops
Boundedness and large time behavior in a three-dimensional chemotaxis-Stokes system with nonlinear diffusion and general sensitivity
Boundedness in a two‐dimensional self‐consistent chemotaxis–Navier–Stokes system with nonlinear diffusion

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