REGULARITY RESULTS OF THE WEAK SOLUTION FOR DYNAMICALLY COUPLED TIMOSHENKO AND EULER-BERNOULLI BEAMS
Keywords:
coupled hyperbolic equations, existence, uniqueness, regularityDOI:
https://doi.org/10.17654/0972111824005Abstract
This paper focuses on the regularity results of the weak solution for a coupled system of Timoshenko and Euler-Bernoulli beams, after possibly a modification on a set of measure zero. This system belongs to the class of coupled linear hyperbolic equations. The coupling of the two partial differential equations associated with each of the beams as well as that of the boundary conditions requires a real adaptation of the general theory described by certain authors. After having gone through steps of the Faedo-Galerkin method for the demonstration of existence and uniqueness, we introduce the intermediate spaces to give some regularity properties of the solution.
Received: March 26, 2024
Revised: May 1, 2024
Accepted: May 14, 2024
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