Learning the nonlinear flux function of a hidden scalar conservation law from data

Nonlinear conservation laws are widely used in fluid mechanics, biology, physics, and chemical engineering. However, deriving such nonlinear conservation laws is a significant and challenging problem. A possible attractive approach is to extract conservation laws more directly from observation data...

Full description

Bibliographic Details

Published in:	Networks and Heterogeneous Media
Main Authors:	Qing Li, Steinar Evje
Format:	Article
Language:	English
Published:	AIMS Press 2022-10-01
Subjects:	nonlinear conservation law flux function machine learning method discrete scheme entropy condition
Online Access:	https://www.aimspress.com/article/doi/10.3934/nhm.2023003