A new result for the global existence and boundedness of weak solutions to a chemotaxis-Stokes system with rotational flux term
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Publication:2026388
DOI10.1007/s00033-021-01546-2zbMath1466.35089OpenAlexW3165687539MaRDI QIDQ2026388
Publication date: 19 May 2021
Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00033-021-01546-2
Weak solutions to PDEs (35D30) Cell movement (chemotaxis, etc.) (92C17) Quasilinear parabolic equations with (p)-Laplacian (35K92) Euler equations (35Q31) Initial-boundary value problems for second-order parabolic systems (35K51)
Related Items (3)
Global existence and boundedness in an \(N\)-dimensional chemotaxis-Navier-Stokes system with nonlinear diffusion and rotation ⋮ Chemotaxis and cross-diffusion models in complex environments: Models and analytic problems toward a multiscale vision ⋮ Chemotaxis-Stokes interaction with very weak diffusion enhancement: blow-up exclusion via detection of absorption-induced entropy structures involving multiplicative couplings
Cites Work
- Unnamed Item
- Global weak solutions in a three-dimensional chemotaxis-Navier-Stokes system
- Global classical solutions in chemotaxis(-Navier)-Stokes system with rotational flux term
- Global existence and boundedness in a Keller-Segel-(Navier-)Stokes system with signal-dependent sensitivity
- Global existence and boundedness in a Keller-Segel-Stokes system involving a tensor-valued sensitivity with saturation
- Global classical small-data solutions for a three-dimensional chemotaxis Navier-Stokes system involving matrix-valued sensitivities
- Global bounded solutions in a two-dimensional quasilinear Keller-Segel system with exponentially decaying diffusivity and subcritical sensitivity
- 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
- Global existence and boundedness in a Keller-Segel-Stokes system involving a tensor-valued sensitivity with saturation: the 3D case
- Initiation of slime mold aggregation viewed as an instability
- A user's guide to PDE models for chemotaxis
- Compact sets in the space \(L^ p(0,T;B)\)
- 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 mass-preserving solutions in a two-dimensional chemotaxis-Stokes system with rotational flux components
- Global boundedness of weak solutions for a three-dimensional chemotaxis-Stokes system with nonlinear diffusion and rotation
- 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
- Global weak solutions in a three-dimensional Keller-Segel-Navier-Stokes system with nonlinear diffusion
- Boundedness for a 3D chemotaxis-Stokes system with porous medium diffusion and tensor-valued chemotactic sensitivity
- Global existence and boundedness in a 3D Keller-Segel-Stokes system with nonlinear diffusion and rotational flux
- An optimal result for global existence and boundedness in a three-dimensional Keller-Segel-Stokes system with nonlinear diffusion
- An optimal result for global existence in a three-dimensional Keller-Segel-Navier-Stokes system involving tensor-valued sensitivity with saturation
- Global existence and boundedness of weak solutions to a chemotaxis-Stokes system with rotational flux term
- Stabilization in a two-dimensional chemotaxis-Navier-Stokes system
- Boundedness vs. blow-up in a chemotaxis system
- Macroscopic equations for bacterial chemotaxis: integration of detailed biochemistry of cell signaling
- Long-term behaviour in a chemotaxis-fluid system with logistic source
- 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?
- A Note on Global Existence for the Chemotaxis–Stokes Model with Nonlinear Diffusion
- Can Rotational Fluxes Impede the Tendency Toward Spatial Homogeneity in Nutrient Taxis(-Stokes) Systems?
- COUPLED CHEMOTAXIS FLUID MODEL
- Global Solutions to the Coupled Chemotaxis-Fluid Equations
- Multiscale Models of Taxis-Driven Patterning in Bacterial Populations
- 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
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