Global well-posedness of the 3-dimensional Navier-Stokes initial value problem in $L^p\cap L^2$ with $3<p<\infty$

Shangbin Cui

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arXiv · 1204.5040

Global well-posedness of the 3-dimensional Navier-Stokes initial value problem in $L^p\cap L^2$ with $3<p<\infty$

Shangbin Cui

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Abstract

By using the continuous induction method, we prove that the initial value problem of the three dimensional Navier-Stokes equations is globally well-posed in $L^p(\mathbb{R}^3)\cap L^2(\mathbb{R}^3)$ for any $3<p<\infty$. The proof is rather simple.

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Shangbin Cui. 2012-04-23. Global well-posedness of the 3-dimensional Navier-Stokes initial value problem in $L^p\cap L^2$ with $3<p<\infty$. https://arxiv.org/abs/1204.5040

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