On the systems of conservation laws and on a new way to construct for them neural networks algorithms

DOI10.1134/S1995080221110184zbMath1478.35148OpenAlexW3210481390WikidataQ114847262 ScholiaQ114847262MaRDI QIDQ2241353

Yanyan Li

Publication date: 9 November 2021

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1995080221110184

zbMATH Keywords

singularitiesneural networksRankine-Hugoniot relationsvariational representationsystems of quasilinear conservation laws

Mathematics Subject Classification ID

Neural networks for/in biological studies, artificial life and related topics (92B20) First-order nonlinear hyperbolic equations (35L60) Hyperbolic conservation laws (35L65) Weak solutions to PDEs (35D30) Initial value problems for first-order hyperbolic systems (35L45)

Cites Work

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• Dual Neural Network Method for Solving Multiple Definite Integrals
• Numerical Methods for Conservation Laws
• Extremal properties of the functionals connected with the systems of conservation laws
• Variational principle for multidimensional conservation laws and pressureless media
• FIRST ORDER QUASILINEAR EQUATIONS IN SEVERAL INDEPENDENT VARIABLES
• Hyperbolic Conservation Laws in Continuum Physics