Global attractors for porous elastic system with memory and nonlinear frictional damping

• Published in: Mathematical methods in the applied sciences Vol. 47; no. 2; pp. 600 - 620
• Main Authors: Duan, Yu‐Ying, Xiao, Ti‐Jun
• Format: Journal Article
• Language: English
• Published: Freiburg Wiley Subscription Services, Inc 30.01.2024
• Subjects: Attractors (mathematics); Damping; Dynamical systems; Elastic systems; frictional damping; global attractor; memory effect; porous elastic system; Smoothness

This paper is concerned with the long‐time behavior of a porous‐elastic system with infinite memory and nonlinear frictional damping. We prove that the dynamical system generated by the solutions of the equations is dissipative, only under the basic conditions (for the well‐posedness) on the memory...