Asymptotic convergence of solutions of Keller-Segel equations in network shaped domains
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Publication:2183444
DOI10.1016/j.na.2020.111839zbMath1442.35033OpenAlexW3011768896MaRDI QIDQ2183444
Publication date: 27 May 2020
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.na.2020.111839
Asymptotic behavior of solutions to PDEs (35B40) Abstract parabolic equations (35K90) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Cell movement (chemotaxis, etc.) (92C17) PDEs on graphs and networks (ramified or polygonal spaces) (35R02)
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Cites Work
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- Instability of stationary solutions of reaction-diffusion-equations on graphs
- Conservation laws on complex networks
- Initiation of slime mold aggregation viewed as an instability
- On convergence to equilibria for the Keller-Segel chemotaxis model
- On the spectra of carbon nano-structures
- Nonlinear aspects of chemotaxis
- The eigenvalue problem for networks of beams
- Differential equations on networks (geometric graphs)
- Finite-time blow-up in the higher-dimensional parabolic-parabolic Keller-Segel system
- Parabolic models for chemotaxis on weighted networks
- Global asymptotic stability of constant equilibria in a fully parabolic chemotaxis system with strong logistic dampening
- Schrödinger operators on zigzag nanotubes
- Stabilization and convergence rate in a chemotaxis system with consumption of chemoattractant
- Global existence and asymptotic behavior to a chemotaxis system with consumption of chemoattractant in higher dimensions
- Uniqueness and symmetry of equilibria in a chemotaxis model
- Abstract Parabolic Evolution Equations and their Applications
- Stationary Solutions of Chemotaxis Systems
- Sturm-Liouville eigenvalue problems on networks
- Spectral Properties of High Contrast Band-Gap Materials and Operators on Graphs
- An Introduction to Partial Differential Equations
- Traffic Flow on a Road Network
- Stability of nonconstant steady states in reaction-diffusion systems on graphs