Local and global solutions for a hyperbolic–elliptic model of chemotaxis on a network
DOI10.1142/S021820251950026XzbMath1425.35203OpenAlexW2939136997WikidataQ128062428 ScholiaQ128062428MaRDI QIDQ4973289
Flavia Smarrazzo, Marco Papi, Francesca R. Guarguaglini
Publication date: 3 December 2019
Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s021820251950026x
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
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Elliptic partial differential equations. Existence and regularity of distributional solutions
- Derivation of hyperbolic models for chemosensitive movement
- Initiation of slime mold aggregation viewed as an instability
- Erratum: Cattaneo models for chemosensitive movement. Numerical solution and pattern formation
- From 1970 until present: The Keller-Segel model in chemotaxis and its consequences. I
- Mathematical biology. Vol. 1: An introduction.
- Stationary solutions and asymptotic behaviour for a chemotaxis hyperbolic model on a network
- Flows on networks: recent results and perspectives
- Stability of constant states and qualitative behavior of solutions to a one dimensional hyperbolic model of chemotaxis
- Parabolic models for chemotaxis on weighted networks
- Semigroup methods for evolution equations on networks
- Le problème de Dirichlet pour les équations elliptiques du second ordre à coefficients discontinus
- Wave propagation, observation and control in 1-\(d\) flexible multi-structures.
- THE SCALAR KELLER–SEGEL MODEL ON NETWORKS
- A degenerate chemotaxis system with flux limitation: Maximally extended solutions and absence of gradient blow-up
- Global Smooth Solutions for a Hyperbolic Chemotaxis Model on a Network
- Stabilization of the Wave Equation on 1-d Networks
- Stability Results for a Diffusion Equation With Functional Drift Approximating a Chemotaxis Model
- A Theoretical Study of Receptor Mechanisms in Bacterial Chemotaxis
- Numerical approximation of nonhomogeneous boundary conditions on networks for a hyperbolic system of chemotaxis modeling the Physarum dynamics
- HYPERBOLIC MODELS FOR CHEMOSENSITIVE MOVEMENT
- Finite-time blow-up in a degenerate chemotaxis system with flux limitation
- A hyperbolic model of chemotaxis on a network: a numerical study
- Hyperbolic models for chemotaxis in 1-D
- Existence of weak solutions for a hyperbolic model of chemosensitive movement
