Global well-posedness and boundary layer effects of radially symmetric solutions for the singular Keller-Segel model

DOI10.1007/s00021-022-00692-5zbMath1490.35026OpenAlexW4229038416MaRDI QIDQ2670704

Qianqian Hou

Publication date: 1 June 2022

Published in: Journal of Mathematical Fluid Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00021-022-00692-5

zbMATH Keywords

perturbation methodboundary layerslogarithmic singularity

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Singular perturbations in context of PDEs (35B25) Reaction-diffusion equations (35K57) Cell movement (chemotaxis, etc.) (92C17) Initial-boundary value problems for second-order parabolic systems (35K51)

Cites Work

• Unnamed Item
• Unnamed Item
• Asymptotic stability of traveling waves of a chemotaxis model with singular sensitivity
• 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
• 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
• Note on loss of regularity for solutions of the 3-D incompressible Euler and related equations
• Model and analysis of chemotactic bacterial patterns in a liquid medium
• Mathematical biology. Vol. 1: An introduction.
• Renormalized radial large-data solutions to the higher-dimensional Keller-Segel system with singular sensitivity and signal absorption
• Boundary layers and stabilization of the singular Keller-Segel system
• Stability of planar traveling waves in a Keller-Segel equation on an infinite strip domain
• 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
• Mathematics of traveling waves in chemotaxis
• 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
• Global Dynamics of a Hyperbolic-Parabolic Model Arising from Chemotaxis
• Random walk with persistence and external bias
• Well-posedness and inviscid limits of the Boussinesq equations with fractional Laplacian dissipation
• 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
• 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
• Vanishing Shear Viscosity in the Equations of Compressible Fluids for the Flows with the Cylinder Symmetry
• Asymptotic and viscous stability of large-amplitude solutions of a hyperbolic system arising from biology
• Cauchy problem of a system of parabolic conservation laws arising from the singular Keller-Segel model in multi-dimensions
• 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: Global well-posedness and boundary layer effects of radially symmetric solutions for the singular Keller-Segel model