On the Cauchy Problem for Axi-Symmetric Vortex Rings
Gespeichert in:
Verfasser / Beitragende:
[Hao Feng, Vladimír Šverák]
Ort, Verlag, Jahr:
2015
Enthalten in:
Archive for Rational Mechanics and Analysis, 215/1(2015-01-01), 89-123
Format:
Artikel (online)
Online Zugang:
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| 024 | 7 | 0 | |a 10.1007/s00205-014-0775-4 |2 doi |
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| 245 | 0 | 0 | |a On the Cauchy Problem for Axi-Symmetric Vortex Rings |h [Elektronische Daten] |c [Hao Feng, Vladimír Šverák] |
| 520 | 3 | |a We consider the classical Cauchy problem for the three dimensional Navier-Stokes equation with the initial vorticity ω 0 concentrated on a circle, or more generally, a linear combination of such data for circles with common axis of symmetry. We show that natural approximations of the problem obtained by smoothing the initial data satisfy good uniform estimates which enable us to conclude that the original problem with the singular initial distribution of vorticity has a solution. We impose no restriction on the size of the initial data. | |
| 540 | |a Springer-Verlag Berlin Heidelberg, 2014 | ||
| 700 | 1 | |a Feng |D Hao |u University of Minnesota, Minneapolis, USA |4 aut | |
| 700 | 1 | |a Šverák |D Vladimír |u University of Minnesota, Minneapolis, USA |4 aut | |
| 773 | 0 | |t Archive for Rational Mechanics and Analysis |d Springer Berlin Heidelberg |g 215/1(2015-01-01), 89-123 |x 0003-9527 |q 215:1<89 |1 2015 |2 215 |o 205 | |
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| 908 | |D 1 |a research-article |2 jats | ||
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| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.1007/s00205-014-0775-4 |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Feng |D Hao |u University of Minnesota, Minneapolis, USA |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Šverák |D Vladimír |u University of Minnesota, Minneapolis, USA |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Archive for Rational Mechanics and Analysis |d Springer Berlin Heidelberg |g 215/1(2015-01-01), 89-123 |x 0003-9527 |q 215:1<89 |1 2015 |2 215 |o 205 | ||