Attractors and Numerical Simulations for a Two-Temperature Phase Transition System
Mohamed Ali Ipopa, Brice Landry Doumbe Bangola, Armel Andami Ovono
Journal of Advances in Mathematics and Computer Science · pp. 99–116 · Published 26 Dec 2022
10.9734/jamcs/2022/v37i121732Abstract
In this paper, we study a generalisation of the Caginalp phase field system obtained by considering the Fourier law as the heat conduction law and involving two temperatures. In the first section, we are interested in the existence and uniqueness of solutions. In section 2, we address the question of the asymptotic behaviour of the solutions, in particular with the demonstration of the existence of a global attractor. For this, we needed to show that the system is dissipative and to know the regularity of the solutions. Finally, in the last section, we turn to the numerical solution of our problem.
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Cited by 4
Brice Landry Doumbé Bangola, Mohamed Ali Ipopa, Armel Andami Ovono · Journal of Physics A: Mathematical and Theoretical · 2024
Brice Landry Doumbé Bangola, Mohamed Ali Ipopa, Armel Andami Ovono · Journal of Nonlinear Mathematical Physics · 2024
Mohamed Ali IPOPA, Brice Landry Doumbé Bangola, Jean De Dieu MANGOUBI · Contemporary Mathematics · 2025
Showing 3 of 4 known citations — external sources report more than can currently be individually listed.
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