A moment approach for entropy solutions to nonlinear hyperbolic PDEs

DOI10.3934/mcrf.2019032zbMath1437.35473arXiv1807.02306OpenAlexW2876051861WikidataQ127989435 ScholiaQ127989435MaRDI QIDQ2175615

Didier Henrion, Tillmann Weisser, Swann Marx, Jean-Bernard Lasserre

Publication date: 29 April 2020

Published in: Mathematical Control and Related Fields (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1807.02306

zbMATH Keywords

convex optimization strategymoments and positive polynomials, Godunov scheme, polynomial flux

Mathematics Subject Classification ID

Nonconvex programming, global optimization (90C26) Shocks and singularities for hyperbolic equations (35L67) First-order nonlinear hyperbolic equations (35L60) Hyperbolic conservation laws (35L65) Weak solutions to PDEs (35D30) Initial value problems for first-order hyperbolic systems (35L45)

Related Items

Convergence of Lasserre's hierarchy: the general case, Graph recovery from incomplete moment information, The multidimensional truncated moment problem: Gaussian mixture reconstruction from derivatives of moments, Convex Relaxations of Integral Variational Problems: Pointwise Dual Relaxation and Sum-of-Squares Optimization, Computing Controlled Invariant Sets from Data Using Convex Optimization, Bounding extrema over global attractors using polynomial optimisation, Bounding Extreme Events in Nonlinear Dynamics Using Convex Optimization, Semi-algebraic approximation using Christoffel-Darboux kernel

Uses Software

• GloptiPoly

Cites Work

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