Saturation of the signal on the boundary: global weak solvability in a chemotaxis-Stokes system with porous-media type cell diffusion
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Publication:2074477
DOI10.1016/j.jde.2022.01.033zbMath1484.35068OpenAlexW4210673414MaRDI QIDQ2074477
Publication date: 10 February 2022
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2022.01.033
global weak solutionchemotaxis-Stokesno-flux-no-slip boundary conditionsporous media-type diffusionsaturation of the signal on the boundary
Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Cell movement (chemotaxis, etc.) (92C17) Quasilinear parabolic equations (35K59) Initial-boundary value problems for second-order parabolic systems (35K51)
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Cites Work
- Unnamed Item
- Unnamed Item
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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 classical small-data solutions for a three-dimensional chemotaxis Navier-Stokes system involving matrix-valued sensitivities
- A coupled chemotaxis-fluid model: global existence
- Boundedness in a quasilinear parabolic-parabolic Keller-Segel system with subcritical sensitivity
- Chemotaxis-fluid coupled model for swimming bacteria with nonlinear diffusion: global existence and asymptotic behavior
- Initiation of slime mold aggregation viewed as an instability
- Aggregation vs. global diffusive behavior in the higher-dimensional Keller-Segel model
- 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
- Locally bounded global solutions in a three-dimensional chemotaxis-Stokes system with nonlinear diffusion
- Global solutions for chemotaxis-Navier-Stokes system with Robin boundary conditions
- Prescribed signal concentration on the boundary: weak solvability in a chemotaxis-Stokes system with proliferation
- Global solutions to a 3D chemotaxis-Stokes system with nonlinear cell diffusion and Robin signal boundary condition
- Global existence and boundedness for chemotaxis-Navier-Stokes systems with position-dependent sensitivity in 2D bounded domains
- Global weak solutions for the three-dimensional chemotaxis-Navier-Stokes system with nonlinear diffusion
- Global (weak) solution of the chemotaxis-Navier-Stokes equations with non-homogeneous boundary conditions and logistic growth
- Global existence and large time behavior for a two-dimensional chemotaxis-Navier-Stokes system
- Stabilization in a two-dimensional chemotaxis-Navier-Stokes system
- Global existence and convergence rates to a chemotaxis-fluids system with mixed boundary conditions
- Bacterial swimming and oxygen transport near contact lines
- Global Existence and Temporal Decay in Keller-Segel Models Coupled to Fluid Equations
- Global Well-Posedness for the Two-Dimensional Incompressible Chemotaxis-Navier--Stokes Equations
- 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?
- Semilinear Parabolic Problems Define Semiflows on C k Spaces
- A Note on Global Existence for the Chemotaxis–Stokes Model with Nonlinear Diffusion
- COUPLED CHEMOTAXIS FLUID MODEL
- Stability of Boundary Layers for a Viscous Hyperbolic System Arising from Chemotaxis: One-Dimensional Case
- Global Solutions to the Coupled Chemotaxis-Fluid Equations
- Local energy estimates and global solvability in a three-dimensional chemotaxis-fluid system with prescribed signal on the boundary
- Asymptotic dynamics on a chemotaxis-Navier–Stokes system with nonlinear diffusion and inhomogeneous boundary conditions
- Toward a mathematical theory of Keller–Segel models of pattern formation in biological tissues
- Superlinear Parabolic Problems
- 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
