Phase field systems have attracted the attention of many researchers in physics and mathematics for several years. They have a wide range of applications, including materials science, thermal welding, crystal formation, and others. In such phenomena, perturbations can occur. The industrial world seeks to understand the behavior of the perturbed system while seeking better control of the perturbation. Our goal in this paper is to study the asymptotic behavior of the solution, proving the existence of the global attractor for perturbed phase field systems with a regular potential and polynomial growth typically of degree 2p −1.

Cahn-Hilliard parabolic-hyperbolic phase field system, regular potential, Dirichlet boundary conditions.

Received: August 7, 2024; Revised: September 5, 2024; Accepted: September 14, 2024; Published: October 8, 2024

How to cite this article: Brice Landry DOUMBE BANGOLA, Mohamed Ali IPOPA, Jean De Dieu MANGOUBI and Franck Davhys Reval LANGA, Existence of the global attractor for a hyperbolic phase field system of Caginalp type with relaxation, governed by a polynomial growth potential of degree  International Journal of Numerical Methods and Applications 25(1) (2025), 1-40. https://doi.org/10.17654/0975045225001

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

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