Elastic stabilization of an intrinsically unstable hyperbolic flow–structure interaction on the 3D half-space

dc.contributor.authorBalakrishna, Abhishek
dc.contributor.authorLasiecka, Irena
dc.contributor.authorWebster, Justin
dc.date.accessioned2022-01-26T15:48:01Z
dc.date.available2022-01-26T15:48:01Z
dc.date.issued2023-03-13
dc.description.abstractThe strong asymptotic stabilization of 3D hyperbolic dynamics is achieved by a damped 2D elastic structure. The model is a Neumann wave-type equation with low regularity coupling conditions given in terms of a nonlinear von Karman plate. This problem is motivated by the elimination of aeroelastic instability (sustained oscillations of bridges, airfoils, etc.) in engineering applications. Empirical observations indicate that the subsonic wave-plate system converges to equilibria. Classical approaches which decouple the plate and wave dynamics have fallen short. Here, we operate on the model as it appears in the engineering literature with no regularization and achieve stabilization by microlocalizing the Neumann boundary data for the wave equation (given through the plate dynamics). We observe a compensation by the plate dynamics precisely where the regularity of the 3D Neumann wave is compromised (in the characteristic sector).en_US
dc.description.urihttps://www.worldscientific.com/doi/10.1142/S0218202523500124en_US
dc.format.extent33 pagesen_US
dc.genrejournal articlesen_US
dc.genrepreprintsen_US
dc.identifierdoi:10.13016/m24prn-xdmy
dc.identifier.citationBalakrishna, Abhishek, Irena Lasiecka, and Justin T. Webster. “Elastic Stabilization of an Intrinsically Unstable Hyperbolic Flow–Structure Interaction on the 3D Half-Space.” Mathematical Models and Methods in Applied Sciences, March 13, 2023. https://doi.org/10.1142/S0218202523500124.
dc.identifier.urihttp://hdl.handle.net/11603/24087
dc.identifier.urihttps://doi.org/10.1142/S0218202523500124
dc.language.isoen_USen_US
dc.publisherWorld Scientific Publishing
dc.relation.isAvailableAtThe University of Maryland, Baltimore County (UMBC)
dc.relation.ispartofUMBC Mathematics Department Collection
dc.relation.ispartofUMBC Faculty Collection
dc.relation.ispartofUMBC Student Collection
dc.rightsPreprint of an article published in Mathematical Models and Methods in Applied SciencesVol. 33, No. 03, pp. 505-545. https://doi.org/10.1142/S0218202523500124 © 2023 World Scientific Publishing Co Pte Ltd. https://www.worldscientific.com/doi/epdf/10.1142/S0218202523500124
dc.titleElastic stabilization of an intrinsically unstable hyperbolic flow–structure interaction on the 3D half-space en_US
dc.title.alternativeStrong Stabilization of a 3D Potential Flow via a Weakly Damped von Karman Plate
dc.typeTexten_US
dcterms.creatorhttps://orcid.org/0000-0003-4411-2891en_US
dcterms.creatorhttps://orcid.org/0000-0002-2443-3789en_US

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