On Liouville type theorems for the steady Navier-Stokes equations in $\Bbb R^3$
By Dongho Chae, J. Wolf. 2016
84 citations recorded by the source corpus.
In this paper we prove three different Liouville type theorems for the steady Navier-Stokes equations in $\Bbb R^3$. In the first theorem we improve logarithmically the well-known $L^{\frac92} (\Bbb R^3)$ result. In the second theorem we present a sufficient condition for the trivially of the solution($v=0$) in terms of the head pressure, $Q=\frac12 |v|^2 +p$. The imposed integrability condition here has the same scaling property as the Dirichlet integral. In the last theorem we present Fubini type condition, which guarantee $v=0$.
Subfields: Applied Mathematics, Mathematical Physics, Modeling and Simulation
View Paper: https://www.semanticscholar.org/paper/9a0df481920de388222ae7f3cf852e7da4e89eae
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In Applied Mathematics
- P. Lemari'e-Rieusset
- O. Jarr'in
- D. Chamorro
- Pierre Germain
- Sadek Gala
- Marco Cannone
- Marius Paicu
- Marcin Bownik
In Mathematical Physics
In Modeling and Simulation
Citations in the corpus
- Some Liouville theorems for stationary Navier-Stokes equations in Lebesgue and Morrey spaces (2018, background): “Wolf gave a logarithmic improvement of Galdi’s result in [2].”