Convergence of boundary layers for the Keller-Segel system with singular sensitivity in the half-plane
From MaRDI portal
Publication:2274104
DOI10.1016/j.matpur.2019.01.008zbMath1428.35022OpenAlexW2912929722WikidataQ128585888 ScholiaQ128585888MaRDI QIDQ2274104
Publication date: 19 September 2019
Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.matpur.2019.01.008
logarithmic sensitivity functioncurl-free preservationPrandtl-type degeneracyvanishing diffusion rate
Singular perturbations in context of PDEs (35B25) Reaction-diffusion equations (35K57) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Cell movement (chemotaxis, etc.) (92C17) Initial-boundary value problems for second-order parabolic systems (35K51)
Related Items (22)
Global solvability to a singular chemotaxis-consumption model with fast and slow diffusion and logistic source ⋮ Riemann problem for a non-strictly hyperbolic system in chemotaxis ⋮ Global solutions to the free boundary value problem of a chemotaxis-Navier–Stokes system ⋮ Convergence rate of the vanishing viscosity limit for the Hunter-Saxton equation in the half space ⋮ 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 ⋮ Convergence rate of solutions towards spiky steady state for the Keller-Segel system with logarithmic sensitivity ⋮ Acceleration of propagation in a chemotaxis‐growth system with slowly decaying initial data ⋮ Nonlinear stability of strong traveling waves for a chemotaxis model with logarithmic sensitivity and periodic perturbations ⋮ Traveling wave solutions of a singular Keller-Segel system with logistic source ⋮ Controlled dynamics of a chemotaxis model with logarithmic sensitivity by physical boundary conditions ⋮ Traveling pulse solutions of a generalized Keller-Segel system with small cell diffusion via a geometric approach ⋮ Boundary-layer profile of a singularly perturbed nonlocal semi-linear problem arising in chemotaxis ⋮ Asymptotic dynamics of a system of conservation laws from chemotaxis ⋮ Asymptotic stability of exogenous chemotaxis systems with physical boundary conditions ⋮ Global dynamics and zero-diffusion limit of a parabolic-elliptic-parabolic system for ion transport networks ⋮ On a singularly perturbed semi-linear problem with Robin boundary conditions ⋮ Nonlinear stability of planar traveling waves in a chemotaxis model of tumor angiogenesis with chemical diffusion ⋮ On a parabolic-hyperbolic chemotaxis system with discontinuous data: well-posedness, stability and regularity ⋮ Global weak solutions and asymptotics of a singular PDE-ODE chemotaxis system with discontinuous data ⋮ Asymptotic behaviors and existence of traveling wave solutions to the Keller-Segel model with logarithmic sensitivity ⋮ Global stability under dynamic boundary conditions of a nonlinear PDE model arising from reinforced random walks
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On the ill-posedness of the Prandtl equations in three-dimensional space
- Asymptotic stability of traveling waves of a chemotaxis model with singular sensitivity
- Global solutions for a hyperbolic-parabolic system of chemotaxis
- Asymptotic nonlinear stability of traveling waves to conservation laws arising from chemotaxis
- Boundary layers for compressible Navier-Stokes equations with density-dependent viscosity and cylindrical symmetry
- On the fractional Fisher information with applications to a hyperbolic-parabolic system of chemotaxis
- Boundary layer problem on a hyperbolic system arising from chemotaxis
- 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
- A chemotactic model for the advance and retreat of the primitive streak in avian development
- Asymptotic dynamics on a singular chemotaxis system modeling onset of tumor angiogenesis
- Global solutions to a hyperbolic-parabolic coupled system with large initial data
- Boundary movement of chemotactic bacterial populations
- Zero viscosity limit for analytic solutions, of the Navier-Stokes equation on a half-space. I: Existence for Euler and Prandtl equations
- Zero viscosity limit for analytic solutions of the Navier-Stokes equation on a half-space. II: Construction of the Navier-Stokes solution
- Model and analysis of chemotactic bacterial patterns in a liquid medium
- Boundary layers for viscous perturbations of noncharacteristic quasilinear hyperbolic problems
- On the global existence of solutions to the Prandtl's system.
- Boundary layer theory and the zero-viscosity limit of the Navier-Stokes equation
- Global existence in critical spaces for compressible Navier-Stokes equations
- Mathematical biology. Vol. 1: An introduction.
- Stability of planar traveling waves in a Keller-Segel equation on an infinite strip domain
- Characteristic boundary layers in real vanishing viscosity limits
- A model of wound-healing angiogenesis in soft tissue
- A chemotaxis model motivated by angiogenesis
- Cellular pattern formation during Dictyostelium aggregation
- Steadily propagating waves of a chemotaxis model
- Convergence rates of zero diffusion limit on large amplitude solution to a conservation laws arising in chemotaxis
- Global well-posedness for a multidimensional chemotaxis model in critical Besov spaces
- Large-time behavior of a parabolic-parabolic chemotaxis model with logarithmic sensitivity in one dimension
- Global dynamics and diffusion limit of a one-dimensional repulsive chemotaxis model
- Boundary layers for the Navier-Stokes equations of compressible fluids
- Global well-posedness and zero diffusion limit of classical solutions to 3D conservation laws arising in chemotaxis
- Initial boundary value problems for a system of parabolic conservation laws arising from chemotaxis in multi-dimensions
- Well-posedness of a 3D parabolic-hyperbolic Keller-Segel system in the Sobolev space framework
- Initial-boundary value problems for a system of hyperbolic balance laws arising from chemotaxis
- Considerations regarding the mathematical basis for Prandtl's boundary layer theory
- Singularity formation and instability in the unsteady inviscid and viscous Prandtl equations
- Vorticity and Incompressible Flow
- Bacterial swimming and oxygen transport near contact lines
- Global Dynamics of a Hyperbolic-Parabolic Model Arising from Chemotaxis
- Stability of traveling waves of the Keller–Segel system with logarithmic sensitivity
- Quantitative decay of a one-dimensional hybrid chemotaxis model with large data
- Nonlinear Stability of Traveling Waves to a Hyperbolic-Parabolic System Modeling Chemotaxis
- NONLINEAR STABILITY OF LARGE AMPLITUDE VISCOUS SHOCK WAVES OF A GENERALIZED HYPERBOLIC–PARABOLIC SYSTEM ARISING IN CHEMOTAXIS
- ON A HYPERBOLIC–PARABOLIC SYSTEM MODELING CHEMOTAXIS
- Global existence of solutions to a hyperbolic-parabolic system
- On the ill-posedness of the Prandtl equation
- Zero-viscosity limit of the linearized Navier-Stokes equations for a compressible viscous fluid in the half-plane
- A System of Reaction Diffusion Equations Arising in the Theory of Reinforced Random Walks
- Blowup of solutions of the unsteady Prandtl's equation
- Vanishing Shear Viscosity in the Equations of Compressible Fluids for the Flows with the Cylinder Symmetry
- Stability of Boundary Layers for a Viscous Hyperbolic System Arising from Chemotaxis: One-Dimensional Case
- Asymptotic and viscous stability of large-amplitude solutions of a hyperbolic system arising from biology
- Well-posedness of the Prandtl equation in Sobolev spaces
- On the non-resistive limit and the magnetic boundary-layer for one-dimensional compressible magnetohydrodynamics
- Zero-Viscosity Limit of the Linearized Compressible Navier-Stokes Equations with Highly Oscillatory Forces in the Half-Plane
- A mathematical model for the roles of pericytes and macrophages in the initiation of angiogenesis. I: The role of protease inhibitors in preventing angiogenesis
This page was built for publication: Convergence of boundary layers for the Keller-Segel system with singular sensitivity in the half-plane
