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Boundary controllability of a system modelling a partially immersed obstacle
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | VERGARA-HERMOSILLA, Gastón | |
| hal.structure.identifier | Friedrich-Alexander Universität Erlangen-Nürnberg = University of Erlangen-Nuremberg [FAU] | |
| dc.contributor.author | LEUGERING, Günter | |
| hal.structure.identifier | Friedrich-Alexander Universität Erlangen-Nürnberg = University of Erlangen-Nuremberg [FAU] | |
| dc.contributor.author | WANG, Yue | |
| dc.date.accessioned | 2024-04-04T02:46:08Z | |
| dc.date.available | 2024-04-04T02:46:08Z | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/191521 | |
| dc.description.abstractEn | In 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.iso | en | |
| dc.subject.en | Nonlinear shallow water equations | |
| dc.subject.en | Exact controllability | |
| dc.subject.en | Nodal profile controllability | |
| dc.subject.en | Boundary control | |
| dc.subject.en | Semi-global piecewise C1 solution | |
| dc.title.en | Boundary controllability of a system modelling a partially immersed obstacle | |
| dc.type | Document de travail - Pré-publication | |
| dc.subject.hal | Mathématiques [math]/Equations aux dérivées partielles [math.AP] | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| hal.identifier | hal-03217810 | |
| hal.version | 1 | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-03217810v1 | |
| bordeaux.COinS | ctx_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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