Research article

Existence result for a nonlinear nonlocal system modeling suspension bridges

  • Received: 07 September 2018 Accepted: 28 November 2018 Published: 04 December 2018
  • MSC : 35G61, 74B20

  • A nonlinear nonlocal partial di erential system modeling suspension bridge is considered. We analyze the well-posedness of the "hyperbolic" type system through a Galerkin procedure. A correspond linear problem admits a unique solution, which makes us find that the original system also has a solution with high regularity.

    Citation: Yongda Wang. Existence result for a nonlinear nonlocal system modeling suspension bridges[J]. AIMS Mathematics, 2018, 3(4): 608-624. doi: 10.3934/Math.2018.4.608

    Related Papers:

  • A nonlinear nonlocal partial di erential system modeling suspension bridge is considered. We analyze the well-posedness of the "hyperbolic" type system through a Galerkin procedure. A correspond linear problem admits a unique solution, which makes us find that the original system also has a solution with high regularity.


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    [9] A. Falocchi, Torsional instability and sensitivity analysis in a suspension bridge model related to the Melan equation, Commun. Nonlinear Sci., 67 (2019), 60-75.
    [10] A. Ferrero, F. Gazzola, A partially hinged rectangular plate as a model for suspension bridges, Discrete Cont. Dyn-A, 35 (2015), 5879-5908.
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  • © 2018 the Author(s), licensee AIMS Press. This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)
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