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.

coupled hyperbolic equations, existence, uniqueness, regularity.

Received: March 26, 2024;  Revised: May 1, 2024;  Accepted: May 14, 2024; Published: June 5, 2024

How to cite this article: Bomisso Gossrin Jean-Marc, Yapi Serge Alain Joresse, Kouma Ali Ouattara and Touré Kidjégbo Augustin, Regularity results of the weak solution for dynamically coupled Timoshenko and Euler-Bernoulli beams, Far East Journal of Dynamical Systems 37(1) (2024), 83-105. https://doi.org/10.17654/0972111824005

This Open Access Article is Licensed under Creative Commons Attribution 4.0 International License

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