Sharp Long-Time Asymptotics for Chemotaxis with Free Boundary
From MaRDI portal
Publication:4985456
DOI10.1137/19M124678XzbMath1467.35053OpenAlexW3153256914MaRDI QIDQ4985456
Xinmei Wen, Perthame, Benoît, Hai-liang Li
Publication date: 23 April 2021
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/19m124678x
Barenblatt solutionPatlak-Keller-Segel modelsteady-state solutionslow diffusion casecongested phenomena
Asymptotic behavior of solutions to PDEs (35B40) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Free boundary problems for PDEs (35R35) Cell movement (chemotaxis, etc.) (92C17)
Related Items (2)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A nonlocal continuum model for biological aggregation
- Dynamic and steady states for multi-dimensional Keller-Segel model with diffusion exponent \(m > 0\)
- Intermediate asymptotics for critical and supercritical aggregation equations and Patlak-Keller-Segel models
- Well-posedness for the motion of physical vacuum of the three-dimensional compressible Euler equations with or without self-gravitation
- Critical mass of degenerate Keller-Segel system with no-flux and Neumann boundary conditions
- The variational formulation of the fully parabolic Keller-Segel system with degenerate diffusion
- Global existence in sub-critical cases and finite time blow-up in super-critical cases to degenerate Keller-Segel systems.
- Global minimizers for free energies of subcritical aggregation equations with degenerate diffusion
- Degenerate parabolic equations
- Functional inequalities, thick tails and asymptotics for the critical mass Patlak-Keller-Segel model
- Initiation of slime mold aggregation viewed as an instability
- Model for chemotaxis
- Global solutions of some chemotaxis and angiogenesis system in high space dimension
- Critical mass for a Patlak-Keller-Segel model with degenerate diffusion in higher dimensions
- The Chandrasekhar theory of stellar collapse as the limit quantum mechanics
- On the diffusion of biological populations
- Compressible Euler equations with vacuum
- Modeling the aggregative behavior of ants of the species Polyergus rufescens
- Congested aggregation via Newtonian interaction
- Optimal critical mass in the two dimensional Keller-Segel model in \(R^2\)
- A mathematical model for fibro-proliferative wound healing disorders
- Compressible flow with damping and vacuum
- Handling congestion in crowd motion modeling
- A congestion model for cell migration
- Nonlinear aggregation-diffusion equations: radial symmetry and long time asymptotics
- Global resolution of the physical vacuum singularity for three-dimensional isentropic inviscid flows with damping in spherically symmetric motions
- Exact criterion for global existence and blow up to a degenerate Keller-Segel system
- Asymptotic behavior for critical Patlak-Keller-Segel model and a repulsive-attractive aggregation equation
- The \(8\pi\)-problem for radially symmetric solutions of a chemotaxis model in a disc
- Global existence and decay properties for a degenerate Keller-Segel model with a power factor in drift term
- On nonlinear asymptotic stability of the Lane-Emden solutions for the viscous gaseous star problem
- Asymptotic Estimates for the Parabolic-Elliptic Keller-Segel Model in the Plane
- The Patlak–Keller–Segel Model and Its Variations: Properties of Solutions via Maximum Principle
- Multidimensional Degenerate Keller–Segel System with Critical Diffusion Exponent $2n/(n+2)$
- Random walk with persistence and external bias
- Local and global well-posedness for aggregation equations and Patlak–Keller–Segel models with degenerate diffusion
- A MACROSCOPIC CROWD MOTION MODEL OF GRADIENT FLOW TYPE
- Compactly supported stationary states of the degenerate Keller-Segel system in the diffusion-dominated regime
- Well-posedness for compressible Euler equations with physical vacuum singularity
- Infinite time aggregation for the critical Patlak‐Keller‐Segel model in ℝ2
- Diffusion, attraction and collapse
- Asymptotic L^1-decay of solutions of the porous medium equation to self-similarity
- Hardy-Littlewood-Sobolev inequalities via fast diffusion flows
- Ground States for Diffusion Dominated Free Energies with Logarithmic Interaction
- Asymptotic profile with the optimal convergence rate for a parabolic equation of chemotaxis in super-critical cases
- Quasi-static evolution and congested crowd transport
- The 8π‐problem for radially symmetric solutions of a chemotaxis model in the plane
This page was built for publication: Sharp Long-Time Asymptotics for Chemotaxis with Free Boundary