Global existence of weak solutions for the 2D incompressible Keller-Segel-Navier-Stokes equations with partial diffusion
From MaRDI portal
Publication:2676777
DOI10.1007/s10440-022-00529-3zbMath1504.35132OpenAlexW4296554882WikidataQ114227775 ScholiaQ114227775MaRDI QIDQ2676777
Qian Zhang, Jijie Zhao, Xiao-yu Chen
Publication date: 28 September 2022
Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10440-022-00529-3
Navier-Stokes equations (35Q30) Weak solutions to PDEs (35D30) Cell movement (chemotaxis, etc.) (92C17) Quasilinear parabolic equations (35K59) Initial-boundary value problems for second-order parabolic systems (35K51)
Cites Work
- Unnamed Item
- Blowup and global solutions in a chemotaxis-growth system
- Global weak solutions in a three-dimensional chemotaxis-Navier-Stokes system
- 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
- Blow-up prevention by quadratic degradation in a two-dimensional Keller-Segel-Navier-Stokes system
- A coupled chemotaxis-fluid model: global existence
- Large time periodic solutions to coupled chemotaxis-fluid models
- Chemotaxis-fluid coupled model for swimming bacteria with nonlinear diffusion: global existence and asymptotic behavior
- Attractiveness of constant states in logistic-type Keller-Segel systems involving subquadratic growth restrictions
- Initiation of slime mold aggregation viewed as an instability
- Boundedness and decay enforced by quadratic degradation in a three-dimensional chemotaxis-fluid system
- Aggregation vs. global diffusive behavior in the higher-dimensional Keller-Segel model
- Global well-posedness for the 2D incompressible four-component chemotaxis-Navier-Stokes equations
- Reaction-driven relaxation in three-dimensional Keller-Segel-Navier-Stokes interaction
- Global well-posedness of axisymmetric solution to the 3D axisymmetric chemotaxis-Navier-Stokes equations with logistic source
- Finite-time blow-up in the higher-dimensional parabolic-parabolic Keller-Segel system
- A generalized solution concept for the Keller-Segel system with logarithmic sensitivity: global solvability for large nonradial data
- Global existence of almost energy solution to the two-dimensional chemotaxis-Navier-Stokes equations with partial diffusion
- Stabilization in a two-dimensional chemotaxis-Navier-Stokes system
- Vorticity and Incompressible Flow
- Biomixing by chemotaxis and efficiency of biological reactions: The critical reaction case
- Global Well-Posedness for the Two-Dimensional Incompressible Chemotaxis-Navier--Stokes Equations
- Lower Bound of Mass in a Chemotactic Model with Advection and Absorbing Reaction
- Boundedness in the Higher-Dimensional Parabolic-Parabolic Chemotaxis System with Logistic Source
- Toward a mathematical theory of Keller–Segel models of pattern formation in biological tissues
- Biomixing by Chemotaxis and Enhancement of Biological Reactions
- Global Large-Data Solutions in a Chemotaxis-(Navier–)Stokes System Modeling Cellular Swimming in Fluid Drops