Mathematical Models for Interacting Dynamics on Networks
Proceedings of the Final Conference of the COST Action MAT-DYN-NET
Series: Trends in Mathematics;
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Product details:
- Publisher Springer Nature Switzerland
- Date of Publication 3 March 2026
- Number of Volumes 1 pieces, Book
- ISBN 9783032023254
- Binding Hardback
- No. of pages446 pages
- Size 235x155 mm
- Language English
- Illustrations XII, 446 p. 71 illus., 46 illus. in color. Illustrations, black & white 700
Categories
Long description:
"
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.
" MoreTable of Contents:
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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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