Nonlinear Analysis: Real World Applications Asymptotic structure of the attractor for processes on time-dependent spaces

We compare the asymptotic structure of the time-dependent attractor A t generated by the partial differential equation where the positive function ε = ε( t ) tends to zero as t → ∞ , with the global attractor A ∞ of its formal limit We establish an abstract result and we apply it to the proof of the convergence A t → A ∞ . Elsevier