Mathematical Models for Interacting Dynamics on Networks : Proceedings of the Final Conference of the COST Action MAT-DYN-NET / edited by Milana Čolić, Jan Giesselmann, Jochen Glück, Marjeta Kramar Fijavž, Alexandre Mauroy, Delio Mugnolo.

Format:

Book

Author/Creator:

Čolić, Milana.

Contributor:

Giesselmann, Jan.

Glück, Jochen.

Kramar Fijavž, Marjeta.

Mauroy, Alexandre.

Mugnolo, Delio.

Series:

Trends in Mathematics, 2297-024X

Language:

English

Subjects (All):

Dynamics.

Mathematical models.

Dynamical Systems.

Mathematical Modeling and Industrial Mathematics.

Local Subjects:

Dynamical Systems.

Mathematical Modeling and Industrial Mathematics.

Physical Description:

1 online resource (731 pages)

Edition:

1st ed. 2026.

Place of Publication:

Cham : Springer Nature Switzerland : Imprint: Birkhäuser, 2026.

Summary:

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.

Contents:

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.

Notes:

Description based on publisher supplied metadata and other sources.

ISBN:

3-032-02326-2

9783032023261

OCLC:

1572204521