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What is Approximate Inertial Manifolds in High Dimensions about?

This paper proves the existence of approximate inertial manifolds for reaction-diffusion equations in high space dimensions, addressing the limitations of exact inertial manifolds which have only been established in lower dimensions. The concept of approximate inertial manifolds, introduced by Foias et al., provides a framework for understanding the long-term behavior of solutions when exact manifolds are not available. The results are derived through the analysis of the behavior of small structures in the

Author

Xuân-Quang Bùi

Language

EN