Global solvability to a 3D chemotaxis-fluid model with matrix-valued supercritical sensitivities
From MaRDI portal
Publication:2233674
DOI10.1007/s10440-021-00415-4zbMath1471.76098OpenAlexW3172841782MaRDI QIDQ2233674
Publication date: 11 October 2021
Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10440-021-00415-4
Diffusion (76R50) Flows in porous media; filtration; seepage (76S05) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Navier-Stokes equations (35Q30) Physiological flows (76Z05) Cell movement (chemotaxis, etc.) (92C17)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Global weak solutions in a three-dimensional chemotaxis-Navier-Stokes system
- 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 regularity of very weak solutions of the stationary Navier-Stokes equations
- Initiation of slime mold aggregation viewed as an instability
- Model for chemotaxis
- Traveling bands of chemotactic bacteria: a theoretical analysis
- Global solutions of some chemotaxis and angiogenesis system in high space dimension
- 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
- Compact sets in the space \(L^ p(0,T;B)\)
- From 1970 until present: The Keller-Segel model in chemotaxis and its consequences. I
- Classical solutions to a logistic chemotaxis model with singular sensitivity and signal absorption
- Improved extensibility criteria and global well-posedness of a coupled chemotaxis-fluid model on bounded domains
- On the regularity of very weak solutions for linear elliptic equations in divergence form
- Global solvability in a two-dimensional self-consistent chemotaxis-Navier-Stokes system
- Boundedness in a chemotaxis–haptotaxis model with nonlinear diffusion
- Large-Data Global Generalized Solutions in a Chemotaxis System with Tensor-Valued Sensitivities
- Global solutions in a fully parabolic chemotaxis system with singular sensitivity
- Elliptic Partial Differential Equations of Second Order
- Global classical solutions in a two-dimensional chemotaxis-Navier-Stokes system with subcritical sensitivity
- Global weak solutions in a three-dimensional Keller–Segel–Navier–Stokes system with subcritical sensitivity
- Existence of Weak Solutions in Wasserstein Space for a Chemotaxis Model Coupled to Fluid Equations
- On the relation between very weak and Leray–Hopf solutions to Navier–Stokes equations
- The Existence and Stability of Spike Patterns in a Chemotaxis Model
- Global Large-Data Solutions in a Chemotaxis-(Navier–)Stokes System Modeling Cellular Swimming in Fluid Drops
This page was built for publication: Global solvability to a 3D chemotaxis-fluid model with matrix-valued supercritical sensitivities
