Beltrami Fields with Nonconstant Proportionality Factor
Archive for Rational Mechanics and Analysis, ISSN: 1432-0673, Vol: 236, Issue: 2, Page: 767-800
2020
- 6Citations
- 4Captures
Metric Options: Counts1 Year3 YearSelecting the 1-year or 3-year option will change the metrics count to percentiles, illustrating how an article or review compares to other articles or reviews within the selected time period in the same journal. Selecting the 1-year option compares the metrics against other articles/reviews that were also published in the same calendar year. Selecting the 3-year option compares the metrics against other articles/reviews that were also published in the same calendar year plus the two years prior.
Example: if you select the 1-year option for an article published in 2019 and a metric category shows 90%, that means that the article or review is performing better than 90% of the other articles/reviews published in that journal in 2019. If you select the 3-year option for the same article published in 2019 and the metric category shows 90%, that means that the article or review is performing better than 90% of the other articles/reviews published in that journal in 2019, 2018 and 2017.
Citation Benchmarking is provided by Scopus and SciVal and is different from the metrics context provided by PlumX Metrics.
Example: if you select the 1-year option for an article published in 2019 and a metric category shows 90%, that means that the article or review is performing better than 90% of the other articles/reviews published in that journal in 2019. If you select the 3-year option for the same article published in 2019 and the metric category shows 90%, that means that the article or review is performing better than 90% of the other articles/reviews published in that journal in 2019, 2018 and 2017.
Citation Benchmarking is provided by Scopus and SciVal and is different from the metrics context provided by PlumX Metrics.
Article Description
We consider the question raised by Enciso and Peralta-Salas (Arch Ration Mech Anal 220(1):243–260, 2016): what nonconstant functions f can occur as the proportionality factor for a Beltrami field u on an open subset U⊂ R? We also consider the related question: for any such f, how large is the space of associated Beltrami fields? By applying Cartan’s method of moving frames and the theory of exterior differential systems, we are able to improve upon the results given in Peralta-Salas (2016). In particular, the answer to the second question depends crucially upon the geometry of the level surfaces of f. We conclude by giving a complete classification of Beltrami fields that possess either a translation symmetry or a rotation symmetry.
Bibliographic Details
http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=85076517595&origin=inward; http://dx.doi.org/10.1007/s00205-019-01481-7; http://link.springer.com/10.1007/s00205-019-01481-7; http://link.springer.com/content/pdf/10.1007/s00205-019-01481-7.pdf; http://link.springer.com/article/10.1007/s00205-019-01481-7/fulltext.html; https://dx.doi.org/10.1007/s00205-019-01481-7; https://link.springer.com/article/10.1007/s00205-019-01481-7
Springer Science and Business Media LLC
Provide Feedback
Have ideas for a new metric? Would you like to see something else here?Let us know