A one-dimensional Keller-Segel equation with a drift issued from the boundary

DOI10.1016/j.crma.2010.04.009zbMath1197.35149arXiv0910.3324OpenAlexW2079047532MaRDI QIDQ984680

Nicolas Meunier, Vincent Calvez, Raphaël Voituriez

Publication date: 20 July 2010

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0910.3324

zbMATH Keywords

half-lineentropy techniques

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for second-order parabolic equations (35K20) Cell movement (chemotaxis, etc.) (92C17) Semilinear parabolic equations (35K58)

Related Items

Cell polarisation model: the 1D case ⋮ Analysis of a Nonlocal and Nonlinear Fokker--Planck Model for Cell Crawling Migration ⋮ Non-linear analysis of a model for yeast cell communication ⋮ Uniqueness for contagious McKean–Vlasov systems in the weak feedback regime

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Chemotactic collapse for the Keller-Segel model
• The two-dimensional Keller-Segel model after blow-up
• Model for chemotaxis
• Global solutions of some chemotaxis and angiogenesis system in high space dimension
• Volume effects in the Keller--Segel model: energy estimates preventing blow-up
• Critical mass for a Patlak-Keller-Segel model with degenerate diffusion in higher dimensions
• From 1970 until present: The Keller-Segel model in chemotaxis and its consequences. I
• Optimal critical mass in the two dimensional Keller-Segel model in \(R^2\)
• Blow-up in a chemotaxis model without symmetry assumptions
• Analysis of a Nonlocal Model for Spontaneous Cell Polarization
• Blow-up, Concentration Phenomenon and Global Existence for the Keller–Segel Model in High Dimension
• Infinite time aggregation for the critical Patlak‐Keller‐Segel model in ℝ²
• On Explosions of Solutions to a System of Partial Differential Equations Modelling Chemotaxis
• Global and Exploding Solutions for Nonlocal Quadratic Evolution Problems
• Existence and nonexistence of solutions for a model of gravitational interaction of particles, III
• Point Dynamics in a Singular Limit of the Keller--Segel Model 1: Motion of the Concentration Regions
• Point Dynamics in a Singular Limit of the Keller--Segel Model 2: Formation of the Concentration Regions
• Singularity formation in the one-dimensional supercooled Stefan problem

This page was built for publication: A one-dimensional Keller-Segel equation with a drift issued from the boundary