Stability of stationary solutions to a multidimensional parabolic–parabolic chemotaxis-consumption model
From MaRDI portal
Publication:6125056
DOI10.1142/s021820252350063xOpenAlexW4387768478MaRDI QIDQ6125056
Publication date: 11 April 2024
Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s021820252350063x
Asymptotic behavior of solutions to PDEs (35B40) Stability in context of PDEs (35B35) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Cell movement (chemotaxis, etc.) (92C17)
Cites Work
- Convergence rates of solutions for a two-dimensional chemotaxis-Navier-Stokes system
- Existence, uniqueness, and stability of bubble solutions of a chemotaxis model
- Global classical small-data solutions for a three-dimensional chemotaxis Navier-Stokes system involving matrix-valued sensitivities
- Boundedness in a chemotaxis model with oxygen consumption by bacteria
- Eventual smoothness and stabilization of large-data solutions in a three-dimensional chemotaxis system with consumption of chemoattractant
- Stability of spiky solution of Keller-Segel's minimal chemotaxis model
- Dynamic theory of quasilinear parabolic equations. II: Reaction-diffusion systems
- On global bifurcation for quasilinear elliptic systems on bounded domains
- Center manifolds for quasilinear reaction-diffusion systems
- Numerical investigation of falling bacterial plumes caused by bioconvection in a three-dimensional chamber
- Multiple interior peak solutions for some singularly perturbed Neumann problems.
- Global solutions for chemotaxis-Navier-Stokes system with Robin boundary conditions
- Analysis of reaction-diffusion models with the taxis mechanism
- Long-term behaviour in a parabolic-elliptic chemotaxis-consumption model
- Global existence, boundedness and stabilization in a high-dimensional chemotaxis system with consumption
- Stabilization in a two-dimensional chemotaxis-Navier-Stokes system
- From a multiscale derivation of nonlinear cross-diffusion models to Keller–Segel models in a Navier–Stokes fluid
- Bacterial swimming and oxygen transport near contact lines
- Global Existence and Temporal Decay in Keller-Segel Models Coupled to Fluid Equations
- Global existence and asymptotic behavior to a chemotaxis system with consumption of chemoattractant in higher dimensions
- Sinking, merging and stationary plumes in a coupled chemotaxis-fluid model: a high-resolution numerical approach
- The principle of linearized stability for quasilinear parabolic evolution equations
- Global solutions to the coupled chemotaxis-fluids system in a 3D unbounded domain with boundary
- Stationary solutions to a chemotaxis-consumption model with realistic boundary conditions for the oxygen
- Boundary spike‐layer solutions of the singular Keller–Segel system: existence and stability
- Local energy estimates and global solvability in a three-dimensional chemotaxis-fluid system with prescribed signal on the boundary
- Radial solutions to a chemotaxis-consumption model involving prescribed signal concentrations on the boundary
- Global weak solutions and absorbing sets in a chemotaxis-Navier–Stokes system with prescribed signal concentration on the boundary
- Chemotaxis and cross-diffusion models in complex environments: Models and analytic problems toward a multiscale vision
- Boundary-layer profile of a singularly perturbed nonlocal semi-linear problem arising in chemotaxis
- Asymptotic stability of exogenous chemotaxis systems with physical boundary conditions
- Global Large-Data Solutions in a Chemotaxis-(Navier–)Stokes System Modeling Cellular Swimming in Fluid Drops
