Liouville type theorem for stationary Navier–Stokes equations
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- 28 June 2016
- journal article
- research article
- Published by IOP Publishing in Nonlinearity
- Vol. 29 (8) , 2191-2195
Abstract
It is shown that any smooth solution to the stationary Navier–Stokes system in R 3 with the velocity, belonging to L 6 and BMO –1 , must be zero.Keywords
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This publication has 4 references indexed in Scilit:
- Liouville-Type Theorems for the Forced Euler Equations and the Navier–Stokes EquationsCommunications in Mathematical Physics, 2014
- On the Liouville theorem for the stationary Navier–Stokes equations in a critical spaceJournal of Mathematical Analysis and Applications, 2013
- An Introduction to the Mathematical Theory of the Navier-Stokes Equations2011
- Liouville theorems for the Navier–Stokes equations and applicationsActa Mathematica, 2009