The Semilinear Heat Equation on Sparse Random Graphs

DOI10.1137/16M1075831zbMath1377.34048arXiv1605.02114MaRDI QIDQ5737791

Dmitry S. Kaliuzhnyi-Verbovetskyi, Georgi S. Medvedev

Publication date: 30 May 2017

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1605.02114

zbMATH Keywords

continuum limitcoupled dynamical systemsopinion dynamicsKuramoto modelgraph limitpower law graph

Mathematics Subject Classification ID

Applications of graph theory (05C90) Random graphs (graph-theoretic aspects) (05C80) Integro-ordinary differential equations (45J05) Integro-partial differential equations (45K05) Population dynamics (general) (92D25) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Lattice dynamics and infinite-dimensional dissipative dynamical systems (37L60) Theoretical approximation of solutions to integral equations (45L05) Molecular, statistical, and kinetic theories in solid mechanics (74A25)

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