Uniform Stabilization of the Petrovsky-Wave Nonlinear coupled system with strong damping

Akram Ben Aissa

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arXiv · 2012.07109

Uniform Stabilization of the Petrovsky-Wave Nonlinear coupled system with strong damping

Akram Ben Aissa

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Abstract

This paper concerns the well-posedness and uniform stabilization of the Petrovsky-Wave Nonlinear coupled system with strong damping. Existence of global weak solutions for this problem is established by using the Galerkin method. Meanwhile, under a clever use of the multiplier method, we estimate the total energy decay rate.

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Akram Ben Aissa. 2020-12-13. Uniform Stabilization of the Petrovsky-Wave Nonlinear coupled system with strong damping. https://arxiv.org/abs/2012.07109

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