Abstract
We study Beltrami flows in the setting of weak solution to the stationary Euler equations in . For this weak Beltrami flow we prove the regularity and the Liouville property. In particular, we show that if the tangential part of the velocity has a certain decay property at infinity, then the solution becomes trivial. This decay condition of the velocity is weaker than the previously known sufficient conditions for the Liouville property of the Betrami flows. For the proof we establish a mean value formula and other various formulas for the tangential and the normal components of the weak solutions to the stationary Euler equations.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.