Journal of innovative applied mathematics and computational sciences
Volume 2, Numéro 1, Pages 43-52
2022-06-30
Authors : Ouaoua Amar . Boughamsa Wissem .
This work is concerned with coupled semi-linear pseudo-parabolic equations with memory terms in both equations, associated with the homogeneous Dirichlet boundary condition. We show that the solution grows exponentially under specific conditions regarding the relaxation functions and initial energy. In order to prove the result, we use the energy method based on the construction of a suitable Lyapunov function. The most important behavior of the evolution system is the exponential growth phenomena because of its wide range of applications in modern science, such as chemistry, biology, ecology, and other areas of engineering and physical sciences.
Memory terms, parabolic equation, exponential growth, source terms.
Amar Abdelhak
.
pages 211-226.
Kadri Syham
.
Djermane Kenza
.
pages 32-39.
Elong Ouissam
.
Senoussaoui Abderrahmane
.
pages 17-21.