On the Cauchy Problem for Axi-Symmetric Vortex Rings

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)
ID: 605515204
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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 
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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