Global solvability and boundedness to a coupled chemotaxis-fluid model with arbitrary porous medium diffusion
From MaRDI portal
Publication:1743812
DOI10.1016/j.jde.2018.02.031zbMath1392.92014OpenAlexW2793869856WikidataQ130181580 ScholiaQ130181580MaRDI QIDQ1743812
Publication date: 16 April 2018
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2018.02.031
Nonlinear parabolic equations (35K55) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Cell movement (chemotaxis, etc.) (92C17) Second-order parabolic equations (35K10)
Related Items
A new result for global solvability to a two-dimensional attraction-repulsion Navier-Stokes system with consumption of chemoattractant ⋮ Global well-posedness to a chemotaxis-Stokes system ⋮ Global boundedness of solutions to a chemotaxis-fluid system with singular sensitivity and logistic source ⋮ Boundedness in a chemotaxis-fluid system involving a gradient-dependent flux limitation and indirect signal production mechanism ⋮ Boundedness of solutions for parabolic-elliptic predator-prey chemotaxis-fluid system with logistic source term ⋮ Boundedness in a two-dimensional attraction-repulsion Navier-Stokes system with consumption of chemoattractant and sub-quadratic degradation ⋮ Global bounded solution of a 3D chemotaxis-Stokes system with nonlinear doubly degenerate diffusion ⋮ Global existence and stabilization in a two-dimensional chemotaxis-Navier-Stokes system with consumption and production of chemosignals ⋮ The rates of convergence for the chemotaxis-Navier–Stokes equations in a strip domain
Cites Work
- Boundedness and decay property in a three-dimensional Keller-Segel-Stokes system involving tensor-valued sensitivity with saturation
- 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
- Global existence and boundedness in a Keller-Segel-Stokes system involving a tensor-valued sensitivity with saturation
- Blow-up prevention by quadratic degradation in a two-dimensional Keller-Segel-Navier-Stokes system
- A coupled chemotaxis-fluid model: global existence
- Exponential attractor for a chemotaxis-growth system of equations
- Initiation of slime mold aggregation viewed as an instability
- On the spectrum of the Stokes operator
- Global solutions of some chemotaxis and angiogenesis system in high space dimension
- Boundedness and decay enforced by quadratic degradation in a three-dimensional chemotaxis-fluid system
- Chemotaxis with logistic source: very weak global solutions and their boundedness properties
- Aggregation vs. global diffusive behavior in the higher-dimensional Keller-Segel model
- On Stokes operators with variable viscosity in bounded and unbounded domains
- Boundedness and global solvability to a chemotaxis-haptotaxis model with slow and fast diffusion
- Optimal critical mass in the two dimensional Keller-Segel model in \(R^2\)
- Finite-time blow-up in the higher-dimensional parabolic-parabolic Keller-Segel system
- Energy-type estimates and global solvability in a two-dimensional chemotaxis-haptotaxis model with remodeling of non-diffusible attractant
- Convergence rate estimates of solutions in a higher dimensional chemotaxis system with logistic source
- Long-term behaviour in a chemotaxis-fluid system with logistic source
- Bacterial swimming and oxygen transport near contact lines
- Global Weak Solutions in a PDE-ODE System Modeling Multiscale Cancer Cell Invasion
- COUPLED CHEMOTAXIS FLUID MODEL
- MATHEMATICAL MODELLING OF CANCER INVASION OF TISSUE: THE ROLE AND EFFECT OF NONLOCAL INTERACTIONS
- Finite-time aggregation into a single point in a reaction - diffusion system
- Global Behaviour of a Reaction-Diffusion System Modelling Chemotaxis
- Global classical solution and boundedness to a chemotaxis-haptotaxis model with re-establishment mechanisms
- Boundedness in the Higher-Dimensional Parabolic-Parabolic Chemotaxis System with Logistic Source
- 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
- Unnamed Item