Global Smooth Solutions for a Hyperbolic Chemotaxis Model on a Network

DOI10.1137/140997099zbMath1330.35489arXiv1411.6109OpenAlexW2181433035WikidataQ57776875 ScholiaQ57776875MaRDI QIDQ3455239

Roberto Natalini, Francesca R. Guarguaglini

Publication date: 4 December 2015

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1411.6109

zbMATH Keywords

networkschemotaxisglobal existence of solutionstransmission conditionsnonlinear hyperbolic systems

Mathematics Subject Classification ID

PDEs in connection with biology, chemistry and other natural sciences (35Q92) Initial-boundary value problems for first-order hyperbolic systems (35L50) Cell movement (chemotaxis, etc.) (92C17) Initial-boundary value problems for mixed-type systems of PDEs (35M33) PDEs on graphs and networks (ramified or polygonal spaces) (35R02)

Related Items (13)

Parabolic models for chemotaxis on weighted networks ⋮ Nonlinear flux-limited models for chemotaxis on networks ⋮ Global existence and asymptotic behavior of solutions for a hyperbolic‐parabolic model of chemotaxis on network ⋮ Vanishing viscosity on a star-shaped graph under general transmission conditions at the node ⋮ Mathematical analysis of parabolic models with volume-filling effect in weighted networks ⋮ A proof of Kirchhoff's first law for hyperbolic conservation laws on networks ⋮ Stationary solutions and asymptotic behaviour for a chemotaxis hyperbolic model on a network ⋮ A survey on well-balanced and asymptotic preserving schemes for hyperbolic models for chemotaxis ⋮ Kinetic and Moment Models for Cell Motion in Fiber Structures ⋮ Global solutions for a chemotaxis hyperbolic-parabolic system on networks with nonhomogeneous boundary conditions ⋮ Kinetic and related macroscopic models for chemotaxis on networks ⋮ Vanishing viscosity approximation for linear transport equations on finite star-shaped networks ⋮ Local and global solutions for a hyperbolic–elliptic model of chemotaxis on a network

Uses Software

• Chemotaxis

Cites Work

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