Existence of weak solutions for a nonhomogeneous incompressible cell–fluid Navier–Stokes model with chemotaxis
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Publication:6185404
DOI10.1002/mma.9284OpenAlexW4366272861MaRDI QIDQ6185404
Juliana Honda Lopes, Gabriela Planas
Publication date: 8 January 2024
Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/mma.9284
PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Cell movement (chemotaxis, etc.) (92C17)
Cites Work
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- Global weak solutions in a three-dimensional chemotaxis-Navier-Stokes system
- Existence of weak solutions for a diffuse interface model for two-phase flows of incompressible fluids with different densities
- A coupled chemotaxis-fluid model: global existence
- Global weak solutions to one-dimensional non-conservative viscous compressible two-phase system
- Traveling bands of chemotactic bacteria: a theoretical analysis
- Global weak solutions to a generic two-fluid model
- Compact sets in the space \(L^ p(0,T;B)\)
- Some new existence results for the variable density Navier-Stokes equations
- Finite-energy solutions for compressible two-fluid Stokes system
- Global weak solution to the viscous two-fluid model with finite energy
- Mathematical tools for the study of the incompressible Navier-Stokes equations and related models
- Keller-Segel chemotaxis models: a review
- Mathematical analysis of two competing cancer cell migration mechanisms driven by interstitial fluid flow
- Global existence and optimal convergence rates for the strong solutions in \(H^2\) to the 3D viscous liquid-gas two-phase flow model
- Weak solutions for some compressible multicomponent fluid models
- Review on mathematical analysis of some two-phase flow models
- Bacterial swimming and oxygen transport near contact lines
- Well-Posedness for a Multidimensional Viscous Liquid-Gas Two-Phase Flow Model
- How far do chemotaxis-driven forces influence regularity in the Navier-Stokes system?
- Weak Solutions of an Initial Boundary Value Problem for an Incompressible Viscous Fluid with Nonnegative Density
- Nonhomogeneous Viscous Incompressible Fluids: Existence of Velocity, Density, and Pressure
- COUPLED CHEMOTAXIS FLUID MODEL
- A Stokes Two-Fluid Model for Cell Migration that Can Account for Physical Cues in the Microenvironment
- Global Solutions to the Coupled Chemotaxis-Fluid Equations
- Chemotaxis and cross-diffusion models in complex environments: Models and analytic problems toward a multiscale vision
- A general cell–fluid Navier–Stokes model with inclusion of chemotaxis
- 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
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