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

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

2012-04-23

arxiv.org/abs/1204.5040v2

Mathematics

Analysis of PDEs

17 pages

Scientific paper

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 $3rather simple.

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