The Stability and Well-Posedness Results For Hyperbolics Non Linear Problems

Authors

  • Dr. Aries Mohammed Es-Salih Laboratory of Applied Mathematics and Modeling, Departments of Maths. Faculty of MISM, University May 8, 1945 Guelma, Street: BP 401 Guelma 24000 – Algeria

Keywords:

Well-posedness and asymptotic stability, General energy decay estimate, Asymptotic stability.

Abstract

In this work, we will give a sufficient condition that guarantees the well posedness of the problem. To this end, we formulate this system in an appropriate Hilbert space setting by using the semigroups approach and we will study the stability of system and proving that the energy decays to zero exponentially. For this purpose, we shall introduce a suitable Lyapunov functional.

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Published

2024-09-08

How to Cite

Dr. Aries Mohammed Es-Salih. (2024). The Stability and Well-Posedness Results For Hyperbolics Non Linear Problems. Journal of Computational Analysis and Applications (JoCAAA), 33(08), 1026–1043. Retrieved from https://eudoxuspress.com/index.php/pub/article/view/1552

Issue

Vol. 33 No. 08 (2024): JOCAAA

Section

Articles

License

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.