Liouville type theorem for stationary Navier–Stokes equations

By G A Seregin. 2015

152 citations recorded by the source corpus.

It is shown that any smooth solution to the stationary Navier–Stokes system in R3 with the velocity, belonging to L6 and BMO–1, must be zero.

Subfields: Applied Mathematics, Control and Systems Engineering, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/b70867a4b1af41580887278e8ee103bf6413d01d

How researchers see this paper

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In Applied Mathematics

1. J. Wolf
2. Dongho Chae
3. Jiahong Wu
4. Taoufik Hmidi
5. Sahbi Keraani
6. John D. Gibbon
7. Shangkun Weng
8. Chongsheng Cao

In Control and Systems Engineering

1. J. Wolf
2. Dongho Chae

In Mathematical Physics

1. J. Wolf
2. Dongho Chae
3. Jiahong Wu
4. Taoufik Hmidi
5. Sahbi Keraani
6. Shangkun Weng
7. Chongsheng Cao
8. Jiang Xu

Citations in the corpus

• On Liouville type theorems for the steady Navier-Stokes equations in $\Bbb R^3$ (2016, background): “2) is trivial is obtained very recently by Seregin in [6].”