Data assimilation for hyperbolic conservation laws: a Luenberger observer approach based on a kinetic description

DOI10.4310/CMS.2015.v13.n3.a1zbMath1329.35195arXiv1309.5613OpenAlexW3105153884WikidataQ60502720 ScholiaQ60502720MaRDI QIDQ2348470

Philippe Moireau, Anne-Celine Boulanger, Jacques Sainte-Marie, Perthame, Benoît

Publication date: 12 June 2015

Published in: Communications in Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1309.5613

zbMATH Keywords

kinetic formulationnudgingshallow water system

Mathematics Subject Classification ID

Filtering in stochastic control theory (93E11) Hyperbolic conservation laws (35L65) Flow control and optimization for incompressible viscous fluids (76D55) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)

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A Luenberger observer for reaction-diffusion models with front position data ⋮ Back-and-forth nudging for the quasi-geostrophic ocean dynamics with altimetry: theoretical convergence study and numerical experiments with the future SWOT observations ⋮ Data-Informed Method of Distributions for Hyperbolic Conservation Laws ⋮ Luenberger Observers for Infinite-Dimensional Systems, Back and Forth Nudging, and Application to a Crystallization Process

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