On the chemotactic limit of the incompressible chemotaxis-Navier-Stokes equations in \(\mathbb{R}^2\)
DOI10.1016/j.aml.2024.109172zbMATH Open1546.35243MaRDI QIDQ6595448
Unnamed Author, Yong-Hong Wu, Peiguang Wang
Publication date: 30 August 2024
Published in: Applied Mathematics Letters (Search for Journal in Brave)
Asymptotic behavior of solutions to PDEs (35B40) Navier-Stokes equations for incompressible viscous fluids (76D05) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Navier-Stokes equations (35Q30) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Cell biology (92C37) Weak solutions to PDEs (35D30) Cell movement (chemotaxis, etc.) (92C17) Second-order parabolic equations (35K10) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
Cites Work
- 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
- Reaction terms avoiding aggregation in slow fluids
- 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
- Exponential attractor for a chemotaxis-growth system of equations
- Chemotaxis-fluid coupled model for swimming bacteria with nonlinear diffusion: global existence and asymptotic behavior
- Blow-up in a higher-dimensional chemotaxis system despite logistic growth restriction
- Initiation of slime mold aggregation viewed as an instability
- Boundedness and decay enforced by quadratic degradation in a three-dimensional chemotaxis-fluid system
- On the inviscid limit of the three dimensional incompressible chemotaxis-Navier-Stokes equations
- Aggregation vs. global diffusive behavior in the higher-dimensional Keller-Segel model
- A three-dimensional Keller-Segel-Navier-Stokes system with logistic source: global weak solutions and asymptotic stabilization
- Global well-posedness for the 2D incompressible four-component chemotaxis-Navier-Stokes equations
- On the global well-posedness for the 3D axisymmetric incompressible Keller-Segel-Navier-Stokes equations
- Global well-posedness for the 3D incompressible Keller-Segel-Navier-Stokes equations
- Finite-time blow-up in the higher-dimensional parabolic-parabolic Keller-Segel system
- Stabilization in a two-dimensional chemotaxis-Navier-Stokes system
- 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
- Sharp decay estimates in a bioconvection model with quadratic degradation in bounded domains
- Global classical solvability and stabilization in a two-dimensional chemotaxis-Navier–Stokes system modeling coral fertilization
- Boundedness in the Higher-Dimensional Parabolic-Parabolic Chemotaxis System with Logistic Source
- A Chemotaxis System with Logistic Source
- Biomixing by Chemotaxis and Enhancement of Biological Reactions
- Global Large-Data Solutions in a Chemotaxis-(Navier–)Stokes System Modeling Cellular Swimming in Fluid Drops
- On the global well‐posedness for the 2D incompressible Keller‐Segel‐Navier‐Stokes equations
This page was built for publication: On the chemotactic limit of the incompressible chemotaxis-Navier-Stokes equations in \(\mathbb{R}^2\)
