Pullback attractors on time-dependent spaces for fluid-structure interaction systems

Abstract

We study the long-time dynamics of a non-autonomous coupled system consisting of the 3D linearized Na\-vier--Stokes equations and nonlinear elasticity equations. We show that this problem generates a process on time-dependent spaces possessing a pullback attractor.

arXiv admin note: text overlap with arXiv:1109.4324, arXiv:1112.6094 by other authors