Global well-posedness for the 3D rotating Navier-Stokes equations with highly oscillating initial data

Changxing Miao; Qionglei Chen; Zhifei Zhang

arxiv: 0910.3064 · v2 · pith:WTAIPVOBnew · submitted 2009-10-16 · 🧮 math.AP · math-ph· math.MP

Global well-posedness for the 3D rotating Navier-Stokes equations with highly oscillating initial data

Qionglei Chen , Changxing Miao , Zhifei Zhang This is my paper

classification 🧮 math.AP math-phmath.MP

keywords globaldataequationshighlyinitialnavier-stokesoscillatingrotating

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In this paper, we prove the global well-posedness for the 3D rotating Navier-Stokes equations in the critical functional framework. Especially, this result allows to construct global solutions for a class of highly oscillating initial data.

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Global well-posedness for the 3D rotating Navier-Stokes equations with highly oscillating initial data

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