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http://hdl.handle.net/2445/185507
Title: | Remarks on stationary and uniformly-rotating vortex sheets: rigidity results |
Author: | Gómez Serrano, Javier Park, Jaemin Shi, Jia Yao, Yao |
Keywords: | Mecànica de fluids Vòrtexs Equacions en derivades parcials Fluid mechanics Vortex-motion Partial differential equations |
Issue Date: | 15-Jul-2021 |
Publisher: | Springer Verlag |
Abstract: | In this paper, we show that the only solution of the vortex sheet equation, either stationary or uniformly rotating with negative angular velocity $\Omega$, such that it has positive vorticity and is concentrated in a finite disjoint union of smooth curves with finite length is the trivial one: constant vorticity amplitude supported on a union of nested, concentric circles. The proof follows a desingularization argument and a calculus of variations flavor. |
Note: | Reproducció del document publicat a: https://doi.org/10.1007/s00220-021-04146-3 |
It is part of: | Communications in Mathematical Physics, 2021, vol. 386, p. 1845-1879 |
URI: | http://hdl.handle.net/2445/185507 |
Related resource: | https://doi.org/10.1007/s00220-021-04146-3 |
ISSN: | 0010-3616 |
Appears in Collections: | Articles publicats en revistes (Matemàtiques i Informàtica) Publicacions de projectes de recerca finançats per la UE |
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