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hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorVERGARA-HERMOSILLA, Gastón
hal.structure.identifierFriedrich-Alexander Universität Erlangen-Nürnberg = University of Erlangen-Nuremberg [FAU]
dc.contributor.authorLEUGERING, Günter
hal.structure.identifierFriedrich-Alexander Universität Erlangen-Nürnberg = University of Erlangen-Nuremberg [FAU]
dc.contributor.authorWANG, Yue
dc.date.accessioned2024-04-04T02:46:08Z
dc.date.available2024-04-04T02:46:08Z
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/191521
dc.description.abstractEnIn this paper, we address the problem of boundary controllability for the one-dimensional nonlinear shallow water system, describing the free surface flow of water as well as the flow under a fixed gate structure. The system of differential equations considered can be interpreted as a simplified model of a particular type of wave energy device converter called oscillating water column. The physical requirements naturally lead to the problem of exact controllability in a prescribed region. In particular, we use the concept of nodal profile controllability in which at a given point (the node) timedependent profiles for the states are required to be reachable by boundary controls. By rewriting the system into a hyperbolic system with nonlocal boundary conditions, we at first establish the semi-global classical solutions of the system, then get the local controllability and nodal profile using a constructive method. In addition, based on this constructive process, we provide an algorithmic concept to calculate the required boundary control function for generating a solution for solving these control problem.
dc.language.isoen
dc.subject.enNonlinear shallow water equations
dc.subject.enExact controllability
dc.subject.enNodal profile controllability
dc.subject.enBoundary control
dc.subject.enSemi-global piecewise C1 solution
dc.title.enBoundary controllability of a system modelling a partially immersed obstacle
dc.typeDocument de travail - Pré-publication
dc.subject.halMathématiques [math]/Equations aux dérivées partielles [math.AP]
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
hal.identifierhal-03217810
hal.version1
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-03217810v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.au=VERGARA-HERMOSILLA,%20Gast%C3%B3n&LEUGERING,%20G%C3%BCnter&WANG,%20Yue&rft.genre=preprint


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