Singular limit problem for the Keller-Segel-Navier-Stokes system on torus
From MaRDI portal
Publication:6551531
DOI10.1002/mma.9817zbMATH Open1547.35509MaRDI QIDQ6551531
Publication date: 7 June 2024
Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)
PDEs in connection with fluid mechanics (35Q35) Singular perturbations in context of PDEs (35B25) Navier-Stokes equations (35Q30) Applications of operator theory to differential and integral equations (47N20)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Global weak solutions in a three-dimensional chemotaxis-Navier-Stokes system
- Finite time blow up for a solution to system of the drift-diffusion equations in higher dimensions
- Boundedness in a parabolic-parabolic quasilinear chemotaxis system with logistic source
- Blow-up prevention by quadratic degradation in a two-dimensional Keller-Segel-Navier-Stokes system
- A degenerate \(p\)-Laplacian Keller-Segel model
- Global existence and asymptotic behavior of classical solutions to a parabolic-elliptic chemotaxis system with logistic source on \(\mathbb{R}^N\)
- End-point maximal regularity and its application to two-dimensional Keller-Segel system
- Boundedness and decay enforced by quadratic degradation in a three-dimensional chemotaxis-fluid system
- The parabolic-parabolic Keller-Segel model in \(\mathbb R^2\)
- A user's guide to PDE models for chemotaxis
- A three-dimensional Keller-Segel-Navier-Stokes system with logistic source: global weak solutions and asymptotic stabilization
- Global generalized solutions to a Keller-Segel system with nonlinear diffusion and singular sensitivity
- Global mass-preserving solutions in a two-dimensional chemotaxis-Stokes system with rotational flux components
- Blow-up profiles and life beyond blow-up in the fully parabolic Keller-Segel system
- Reaction-driven relaxation in three-dimensional Keller-Segel-Navier-Stokes interaction
- Uniform in time \(L^\infty \)-estimates for an attraction-repulsion chemotaxis model with double saturation
- Convergence rates of solutions in a predator-prey system with indirect pursuit-evasion interaction in domains of arbitrary dimension
- Eventual smoothness and stabilization in a three-dimensional Keller-Segel-Navier-Stokes system with rotational flux
- Singular limit problem for the Keller-Segel system and drift-diffusion system in scaling critical spaces
- A new result for the global existence (and boundedness) and regularity of a three-dimensional Keller-Segel-Navier-Stokes system modeling coral fertilization
- Does repulsion-type directional preference in chemotactic migration continue to regularize Keller-Segel systems when coupled to the Navier-Stokes equations?
- Boundedness in a two-dimensional Keller-Segel-Navier-Stokes system involving a rapidly diffusing repulsive signal
- Finite-time blow-up in quasilinear parabolic-elliptic chemotaxis system with nonlinear signal production
- An optimal result for global existence and boundedness in a three-dimensional Keller-Segel-Stokes system with nonlinear diffusion
- An optimal result for global existence in a three-dimensional Keller-Segel-Navier-Stokes system involving tensor-valued sensitivity with saturation
- A finite volume scheme for the Patlak-Keller-Segel chemotaxis model
- Stabilization in a two-dimensional chemotaxis-Navier-Stokes system
- The uniform boundedness and threshold for the global existence of the radial solution to a drift-diffusion system
- The \(8\pi\)-problem for radially symmetric solutions of a chemotaxis model in a disc
- How far do chemotaxis-driven forces influence regularity in the Navier-Stokes system?
- Global existence versus blow up for some models of interacting particles
- Infinite time aggregation for the critical Patlak‐Keller‐Segel model in ℝ2
- The Keller-Segel system of parabolic-parabolic type with initial data in weak $L^{n/2}(\mathbb{R}^n)$ and its application to self-similar solutions
- On the parabolic-elliptic limit of the doubly parabolic Keller–Segel system modelling chemotaxis
- On Explosions of Solutions to a System of Partial Differential Equations Modelling Chemotaxis
- The full Keller–Segel model is well-posed on nonsmooth domains
- Existence and nonexistence of solutions for a model of gravitational interaction of particles, III
- The 8π‐problem for radially symmetric solutions of a chemotaxis model in the plane
- Boundedness of solutions to a quasilinear parabolic-elliptic Keller-Segel system with logistic source
- The stability analysis of a 2D Keller-Segel-Navier-Stokes system in fast signal diffusion
This page was built for publication: Singular limit problem for the Keller-Segel-Navier-Stokes system on torus