Controlling conservation laws I: Entropy–entropy flux
نویسندگان
چکیده
We study a class of variational problems for regularized conservation laws with Lax's entropy-entropy flux pairs. first introduce modified optimal transport space based on diffusion. Using this space, we demonstrate that diffusion are “flux–gradient flows”. next construct these flows, which derive dual PDE systems laws. Several examples, including traffic flow and Burgers' equation, presented. Incorporating both primal-dual algorithms monotone schemes, successfully compute the control
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ژورنال
عنوان ژورنال: Journal of Computational Physics
سال: 2023
ISSN: ['1090-2716', '0021-9991']
DOI: https://doi.org/10.1016/j.jcp.2023.112019