Networks of geometrically exact beams: well-posedness and stabilization
DOI10.3934/mcrf.2021002zbMath1486.35289arXiv2009.07183OpenAlexW3086576413MaRDI QIDQ2119428
Publication date: 29 March 2022
Published in: Mathematical Control and Related Fields (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2009.07183
well-posednessexponential stabilizationboundary feedbackgeometrically exact beamtree-shaped networkintrinsic beamone-dimensional first-order semilinear hyperbolic systems
Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Stabilization of systems by feedback (93D15) Asymptotic behavior of solutions to PDEs (35B40) First-order nonlinear hyperbolic equations (35L60) Initial-boundary value problems for first-order hyperbolic systems (35L50) PDEs on graphs and networks (ramified or polygonal spaces) (35R02)
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