Asymptotic analysis of high-Reynolds number flows on a torus

What is it about?

Based on the high-Reynolds-number asymptotic structure of the travelling and standing waves, necessary conditions for the invariant manifolds of the chaotic and turbulent attractors are obtained, these necessary conditions being conjectured to be also sufficient.

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Why is it important?

This output is internationally excellent in terms of originality, significance and rigour because both the high-Reynolds-number asymptotic structure and the invariant manifolds are identified for the first time.