This volume provides a broad overview of state-of-the-art research on dynamical systems on networks. The chapters are based on contributions to the Final Conference of the COST Action 'CA18232: Mat-Dyn-Net: Mathematical Models for Interacting Dynamics on Networks. Specific topics covered include:
- Spectral theory, and mathematical physics
- Kinetic and transport equations
- Biological and biomedical models
- Differential operators and differential equations
Mathematical Models for Interacting Dynamics on Networks will appeal to researchers interested in these active areas.
A review of a work by L. Raymond: Sturmian Hamiltonians with a large
coupling constant - periodic approximations and gap labels.- Compactness of
linearized Boltzmann operators for polyatomic gases.- Discrete Boltzmann
Equation for Anyons.- Action potential dynamics on heterogenous neural
networks: from kinetic to macroscopic equations.- A space-dependent
Boltzmann-BGK model for gas mixtures and its hydrodynamic limits.- A delayed
model for tumor-immune system interactions.- Geometric optimization problem
for vascular stents.- Journey Through the World of Dynamical Systems on
Networks.- A Payne-Whitham model of urban traffic networks in the presence of
traffic lights and its application to traffic optimisation.- A Novel Use of
Pseudospectra in Mathematical Biology: Understanding HPA Axis Sensitivity.-
The virial theorem and the method of multipliers in spectral theory.-
Well-posedness and long-term behaviour of buffered flows in infinite
networks.- Numerical Study of the Higher-Order Maxwell-Stefan Model of
Diffusion.- Fourth-order operators with unbounded coefficients in $L^1$
spaces.- Graph structure of the nodal set and bounds on the number of
critical points of eigenfunctions on Riemannian manifolds.- Investigating
dynamics and asymptotic trend to equilibrium in a reactive BGK model.-
Polynomial Stability of a Coupled Wave-Heat Network.
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