Decay estimate of solutions to the coupled chemotaxis-fluid equations in \(\mathbb{R}^3\)
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Publication:1644318
DOI10.1016/j.nonrwa.2018.01.006zbMath1394.35049OpenAlexW2795055227MaRDI QIDQ1644318
Publication date: 21 June 2018
Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.nonrwa.2018.01.006
energy methodglobal existencelarge time behaviorhomogeneous Besov spacehomogeneous Sobolev spacetime decay rate
Asymptotic behavior of solutions to PDEs (35B40) Navier-Stokes equations (35Q30) Cell movement (chemotaxis, etc.) (92C17)
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Cites Work
- Unnamed Item
- Unnamed Item
- Convergence rates of solutions for a two-dimensional chemotaxis-Navier-Stokes system
- Global classical solutions in chemotaxis(-Navier)-Stokes system with rotational flux term
- A coupled Keller-Segel-Stokes model: global existence for small initial data and blow-up delay
- Blow-up prevention by logistic sources in a parabolic-elliptic Keller-Segel system with singular sensitivity
- Decay estimates of solutions to the compressible Euler-Maxwell system in \(\mathbb{R}^3\)
- Global existence and boundedness in a Keller-Segel-Stokes model with arbitrary porous medium diffusion
- Decay of the Navier-Stokes-Poisson equations
- Persistence of mass in a chemotaxis system with logistic source
- Global bounded solutions in a two-dimensional quasilinear Keller-Segel system with exponentially decaying diffusivity and subcritical sensitivity
- Blow-up prevention by quadratic degradation in a two-dimensional Keller-Segel-Navier-Stokes system
- A coupled chemotaxis-fluid model: global existence
- Chemotaxis-fluid coupled model for swimming bacteria with nonlinear diffusion: global existence and asymptotic behavior
- Weak solutions for a bioconvection model related to Bacillus subtilis
- Initiation of slime mold aggregation viewed as an instability
- Boundedness and decay enforced by quadratic degradation in a three-dimensional chemotaxis-fluid system
- Existence and uniqueness theorem on mild solutions to the Keller-Segel system coupled with the Navier-Stokes fluid
- A user's guide to PDE models for chemotaxis
- From 1970 until present: The Keller-Segel model in chemotaxis and its consequences. I
- Locally bounded global solutions in a three-dimensional chemotaxis-Stokes system with nonlinear diffusion
- Existence of smooth solutions to coupled chemotaxis-fluid equations
- 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
- Stabilization in a two-dimensional chemotaxis-Navier-Stokes system
- Global asymptotic stability of constant equilibria in a fully parabolic chemotaxis system with strong logistic dampening
- The Boltzmann equation, Besov spaces, and optimal time decay rates in \(\mathbb{R}_x^n\)
- Vorticity and Incompressible Flow
- Bacterial swimming and oxygen transport near contact lines
- Global-in-time bounded weak solutions to a degenerate quasilinear Keller–Segel system with rotation
- The Vlasov-Poisson-Landau system in a periodic box
- 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
- 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
- A Note on Global Existence for the Chemotaxis–Stokes Model with Nonlinear Diffusion
- COUPLED CHEMOTAXIS FLUID MODEL
- Decay of Dissipative Equations and Negative Sobolev Spaces
- Global Solutions to the Coupled Chemotaxis-Fluid Equations
- Toward a mathematical theory of Keller–Segel models of pattern formation in biological tissues
- Almost Exponential Decay Near Maxwellian
- Biomixing by Chemotaxis and Enhancement of Biological Reactions
- Global Large-Data Solutions in a Chemotaxis-(Navier–)Stokes System Modeling Cellular Swimming in Fluid Drops
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