Boundary-layer profile of a singularly perturbed nonlocal semi-linear problem arising in chemotaxis
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Publication:5130937
DOI10.1088/1361-6544/ab8f7czbMath1454.35151arXiv1909.03633OpenAlexW3082453218MaRDI QIDQ5130937
Zhi-An Wang, Wen Yang, Chiun-Chang Lee
Publication date: 30 October 2020
Published in: Nonlinearity (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1909.03633
Boundary value problems for second-order elliptic equations (35J25) Second-order elliptic equations (35J15) Perturbations in context of PDEs (35B20) Semilinear elliptic equations (35J61)
Related Items (10)
Construction of unique mild solution and continuity of solution for the small initial data to 1-D Keller-Segel system ⋮ Boundary layer problem on the chemotaxis model with Robin boundary conditions ⋮ Depleting the signal: Analysis of chemotaxis‐consumption models—A survey ⋮ Stability of stationary solutions to a multidimensional parabolic–parabolic chemotaxis-consumption model ⋮ Global solvability and large time behavior in a two-species chemotaxis-consumption model ⋮ On the steady state problem of the chemotaxis-consumption model with logistic growth and Dirichlet boundary condition for signal ⋮ Steady‐state solutions of the aerotaxis problem ⋮ Asymptotic stability of spiky steady states for a singular chemotaxis model with signal-suppressed motility ⋮ Asymptotic stability of exogenous chemotaxis systems with physical boundary conditions ⋮ Radial solutions to a chemotaxis-consumption model involving prescribed signal concentrations on the boundary
Cites Work
- Recent progresses in boundary layer theory
- Boundary layer analysis from the Keller-Segel system to the aggregation system in one space dimension
- Boundedness in a chemotaxis model with oxygen consumption by bacteria
- A coupled chemotaxis-fluid model: global existence
- Eventual smoothness and stabilization of large-data solutions in a three-dimensional chemotaxis system with consumption of chemoattractant
- On De Giorgi's conjecture in dimension \(N\geq 9\)
- Boundary layer problem on a hyperbolic system arising from chemotaxis
- Traveling bands of chemotactic bacteria: a theoretical analysis
- Symmetry and related properties via the maximum principle
- Numerical investigation of falling bacterial plumes caused by bioconvection in a three-dimensional chamber
- From constant mean curvature hypersurfaces to the gradient theory of phase transitions.
- Multiple interior peak solutions for some singularly perturbed Neumann problems.
- Thin layer analysis of a non-local model for the double layer structure
- Boundary layer analysis of nonlinear reaction-diffusion equations in a smooth domain
- Convergence of boundary layers for the Keller-Segel system with singular sensitivity in the half-plane
- How unstable is spatial homogeneity in Keller-Segel systems? A new critical mass phenomenon in two- and higher-dimensional parabolic-elliptic cases
- Global existence and convergence rates to a chemotaxis-fluids system with mixed boundary conditions
- 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 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
- COUPLED CHEMOTAXIS FLUID MODEL
- The steepest point of the boundary layers of singularly perturbed semilinear elliptic problems
- Stability of Boundary Layers for a Viscous Hyperbolic System Arising from Chemotaxis: One-Dimensional Case
- Global solutions to the coupled chemotaxis-fluids system in a 3D unbounded domain with boundary
- Asymptotic Formulas for Boundary Layers and Eigencurves for Nonlinear Elliptic Eigenvalue Problems
- Global Solutions to the Coupled Chemotaxis-Fluid Equations
- Stationary solutions to a chemotaxis-consumption model with realistic boundary conditions for the oxygen
- Large time behavior in a forager–exploiter model with different taxis strategies for two groups in search of food
- Global Large-Data Solutions in a Chemotaxis-(Navier–)Stokes System Modeling Cellular Swimming in Fluid Drops
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