Exponential stability of a damped beam-string-beam transmission problem

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dc.contributor.authorBarraza Martinez, Bienvenido
dc.contributor.authorHernandez Monzon, Jairo
dc.contributor.authorVergara Rolong, Gustavo
dc.date.accessioned2023-04-17T18:31:02Z
dc.date.available2023-04-17T18:31:02Z
dc.date.issued2022-04-13
dc.description.abstractWe consider a beam-string-beam transmission problem, where two structurally damped or undamped beams are coupled with a frictionally damped string by transmission conditions. We show that for this structure, the dissipation produced by the frictional part is strong enough to produce exponential decay of the solution no matter how small is its size. For the exponential stability in the damped-damped-damped situation we use energy method. For the undamped-damped-undamped situation we use a frequency domain method from semigroups theory, which combines a contradiction argument with the multiplier technique to carry out a special analysis for the resolvent. Additionally, we show that the solution first defined by the weak formulation has higher Sobolev space regularity.
dc.description.departmentMathematics
dc.formatText
dc.format.extent19 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationBarraza Martínez, B., Hernández Monzón, J., & Vergara Rolong, G. (2022). Exponential stability of a damped beam-string-beam transmission problem. <i>Electronic Journal of Differential Equations, 2022</i>(30), pp. 1-19.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/16589
dc.language.isoen
dc.publisherTexas State University, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.holderThis work is licensed under a Creative Commons Attribution 4.0 International License.
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2022, San Marcos, Texas: Texas State University and University of North Texas.
dc.subjectExponential stability
dc.subjectTransmission problems
dc.subjectFrictional damping
dc.subjectBeam-string equations
dc.titleExponential stability of a damped beam-string-beam transmission problem
dc.typeArticle

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