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Decay rate estimates for a new class of multidimensional nonlinear Bresse systems with time-dependent dissipations

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Abstract

This paper studies the existence of weak solutions and their asymptotic behaviour to the initial boundary value problem for a multidimensional nonlinear Bresse system. The existence of the solutions of the problem is obtained by appliying Galerkin method. Then, we obtain an explicit decay rate estimation dependent on both the strain-caused stress and the damping terms by using the multiplier method with integral.

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Acknowledgements

This work was supported by the Directorate-General for Scientific Research and Technological Development (DGRSDT) (Algeria). The author would like to thank the editor and the referees for their very helpful suggestions.

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  1. Laboratory of applied mathematics, University of Badji Mokhtar, P.O. Box 12, 23000, Annaba, Algeria

    Hanni Dridi

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  1. Hanni Dridi
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Dridi, H. Decay rate estimates for a new class of multidimensional nonlinear Bresse systems with time-dependent dissipations. Ricerche mat 72, 565–597 (2023). https://doi.org/10.1007/s11587-020-00554-0

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