Global mass-preserving solutions to a chemotaxis-fluid model involving Dirichlet boundary conditions for the signal
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Publication:5037874
DOI10.1142/S0219530521500275zbMath1484.92013OpenAlexW4200289447MaRDI QIDQ5037874
Michael Winkler, Yulan Wang, Zhaoyin Xiang
Publication date: 4 March 2022
Published in: Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0219530521500275
Nonlinear parabolic equations (35K55) PDEs in connection with fluid mechanics (35Q35) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Weak solutions to PDEs (35D30) 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 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
- Locally bounded global solutions to a chemotaxis consumption model with singular sensitivity and nonlinear diffusion
- Chemotaxis-fluid coupled model for swimming bacteria with nonlinear diffusion: global existence and asymptotic behavior
- Existence and uniqueness theorem on mild solutions to the Keller-Segel system coupled with the Navier-Stokes fluid
- Solutions for semilinear parabolic equations in \(L^ p\) and regularity of weak solutions of the Navier-Stokes system
- The small-convection limit in a two-dimensional chemotaxis-Navier-Stokes system
- Global existence and stabilization in a degenerate chemotaxis-Stokes system with mildly strong diffusion enhancement
- 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 solutions for chemotaxis-Navier-Stokes system with Robin boundary conditions
- A smallness condition ensuring boundedness in a two-dimensional chemotaxis-Navier-Stokes system involving Dirichlet boundary conditions for the signal
- 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
- Boundedness for a 3D chemotaxis-Stokes system with porous medium diffusion and tensor-valued chemotactic sensitivity
- How strongly does diffusion or logistic-type degradation affect existence of global weak solutions in a 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
- 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?
- 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
- Global weak solutions in a three-dimensional Keller–Segel–Navier–Stokes system with subcritical sensitivity
- Global Solutions to the Coupled Chemotaxis-Fluid Equations
- Stationary solutions to a chemotaxis-consumption model with realistic boundary conditions for the oxygen
- 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
- 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
