Theoretical and numerical stability results for a viscoelastic swelling porous-elastic system with past history

• Published in: AIMS mathematics Vol. 6; no. 11; pp. 11921 - 11949
• Main Authors: Al-Mahdi, Adel M., Al-Gharabli, Mohammad M., Alahyane, Mohamed
• Format: Journal Article
• Language: English
• Published: AIMS Press 01.01.2021
• Subjects: convex functions; finite element and crank-nicolson methods; general decay; swelling porous problem; viscoelastic

The purpose of this paper is to establish a general stability result for a one-dimensional linear swelling porous-elastic system with past history, irrespective of the wave speeds of the system. First, we establish an explicit and general decay result under a wider class of the relaxation (kernel) f...