Abstract
This paper shows that a sequence of (suitably uniform) inertial manifolds for a family of approximations converges to an inertial manifold for the limiting problem, without imposing any additional assumptions.
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Robinson, J.C. Convergent families of inertial manifolds for convergent approximations. Numerical Algorithms 14, 179–188 (1997). https://doi.org/10.1023/A:1019113029997
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DOI: https://doi.org/10.1023/A:1019113029997