Global existence of classical solutions for a hyperbolic chemotaxis model and its parabolic limit

DOI10.1512/iumj.2006.55.2677zbMath1162.35048OpenAlexW2101750222MaRDI QIDQ5475409

Kyungkeun Kang, Hyung-Ju Hwang, Angela Stevens

Publication date: 19 June 2006

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1512/iumj.2006.55.2677

zbMATH Keywords

chemotaxisglobal existencehyperbolic models

Mathematics Subject Classification ID

PDEs of mixed type (35M10) First-order nonlinear hyperbolic equations (35L60) Initial value problems for first-order hyperbolic systems (35L45) Hyperbolic equations on manifolds (58J45) Cell movement (chemotaxis, etc.) (92C17)

Related Items (12)

A kinetic chemotaxis model with internal states and temporal sensing ⋮ The flux limited Keller-Segel system; properties and derivation from kinetic equations ⋮ Radial spiky steady states of a flux‐limited Keller–Segel model: Existence, asymptotics, and stability ⋮ Travelling Chemotactic Aggregates at Mesoscopic Scale and BiStability ⋮ Travelling waves in hyperbolic chemotaxis equations ⋮ A survey on well-balanced and asymptotic preserving schemes for hyperbolic models for chemotaxis ⋮ Asymptotic-preserving and well-balanced schemes for the 1D Cattaneo model of chemotaxis movement in both hyperbolic and diffusive regimes ⋮ Hyperbolic traveling waves driven by growth ⋮ Aggregated steady states of a kinetic model for chemotaxis ⋮ Confinement by biased velocity jumps: aggregation of \textit{Escherichia coli} ⋮ Global Existence for a Kinetic Model of Chemotaxis via Dispersion and Strichartz Estimates ⋮ The diffusive limit of the Vlasov-Fokker-Planck equation with the chemotactic sensitivity coupled to a parabolic equation

This page was built for publication: Global existence of classical solutions for a hyperbolic chemotaxis model and its parabolic limit