On the fractional chemotaxis Navier-Stokes system in the critical spaces
DOI10.3934/dcdsb.2022088zbMath1505.35347OpenAlexW4285131399MaRDI QIDQ2083314
Claudio Cuevas, Joelma Azevedo, Clessius Silva, Jarbas Dantas
Publication date: 10 October 2022
Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/dcdsb.2022088
asymptotic behaviorincompressible Navier-Stokes equationswell-posednesschemotaxis modelscritical Besov-Morrey spaces
Navier-Stokes equations (35Q30) Cell movement (chemotaxis, etc.) (92C17) Fractional partial differential equations (35R11) Quasilinear parabolic equations (35K59) Initial-boundary value problems for second-order parabolic systems (35K51)
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Cites Work
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- Global weak solutions in a three-dimensional chemotaxis-Navier-Stokes system
- Global existence result for chemotaxis Navier-Stokes equations in the critical Besov spaces
- A coupled Keller-Segel-Stokes model: global existence for small initial data and blow-up delay
- Global existence and boundedness in a Keller-Segel-Stokes model with arbitrary porous medium diffusion
- Global regular and singular solutions for a model of gravitating particles
- Strong \(L^ p\)-solutions of the Navier-Stokes equation in \(R^ m\), with applications to weak solutions
- Existence and uniqueness theorem on mild solutions to the Keller-Segel system coupled with the Navier-Stokes fluid
- Temporal decay in negative Besov spaces for the 3D coupled chemotaxis-fluid equations
- Existence of smooth solutions to coupled chemotaxis-fluid equations
- Mild solutions to the time fractional Navier-Stokes equations in \(\mathbb{R}^N\)
- 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
- Critical space for the parabolic-parabolic Keller--Segel model in \(\mathbb R^{d}\)
- Local well-posedness for the chemotaxis-Navier-Stokes equations in Besov spaces
- On the theory of \({\mathcal L}_{p, \lambda}\) spaces
- Large time behavior of bounded solutions to a parabolic system of chemotaxis in the whole space
- Long-term behaviour in a chemotaxis-fluid system with logistic source
- Bacterial swimming and oxygen transport near contact lines
- A Note on Global Existence for the Chemotaxis–Stokes Model with Nonlinear Diffusion
- Semilinear heat equations and the navier-stokes equation with distributions in new function spaces as initial data
- Uniqueness criterion of weak solutions to the stationary Navier–Stokes equations in exterior domains
- Besov-Morrey spaces: Function space theory and applications to non-linear PDE
- Global Solutions to the Coupled Chemotaxis-Fluid Equations
- Global well-posedness and asymptotic behavior in Besov-Morrey spaces for chemotaxis-Navier-Stokes fluids
- Existence and asymptotic behaviour for the time‐fractional Keller–Segel model for chemotaxis
- Global Large-Data Solutions in a Chemotaxis-(Navier–)Stokes System Modeling Cellular Swimming in Fluid Drops
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