A well-balanced scheme for kinetic models of chemotaxis derived from one-dimensional local forward-backward problems

DOI10.1016/j.mbs.2012.12.009zbMath1303.92018OpenAlexW2086902334WikidataQ51266163 ScholiaQ51266163MaRDI QIDQ1950218

Publication date: 10 May 2013

Published in: Mathematical Biosciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mbs.2012.12.009

zbMATH Keywords

slab geometry case's elementary solutions chemotaxis ``run and tumble modelsmorrison formula one-dimensional kinetic equations rank-one perturbation and sherman stabilization in large times

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Initial value problems for linear first-order PDEs (35F10) Cell movement (chemotaxis, etc.) (92C17)

Related Items (10)

Concentration Waves of Chemotactic Bacteria: The Discrete Velocity Case ⋮ Hydrodynamic singular regimes in \(1+1\) kinetic models and spectral numerical methods ⋮ Well-Balanced Schemes Based on Elementary Solutions for Kinetic Models of Ionized or Ultra-Relativistic Gas ⋮ Travelling Chemotactic Aggregates at Mesoscopic Scale and BiStability ⋮ A survey on well-balanced and asymptotic preserving schemes for hyperbolic models for chemotaxis ⋮ Numerical High-Field Limits in Two-Stream Kinetic Models and 1D Aggregation Equations ⋮ A criterion for asymptotic preserving schemes of kinetic equations to be uniformly stationary preserving ⋮ Redheffer Products and Numerical Approximation of Currents in One-Dimensional Semiconductor Kinetic Models ⋮ Numerical Methods for One-Dimensional Aggregation Equations ⋮ A numerical comparison between degenerate parabolic and quasilinear hyperbolic models of cell movements under chemotaxis

Uses Software

Chemotaxis

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