Remarks on stationary and uniformly rotating vortex sheets: flexibility results-Reference-Cited by-同舟云学术

Remarks on stationary and uniformly rotating vortex sheets: flexibility results

Published:2022-05-09 Issue:2226 Volume:380 Page:
ISSN:1364-503X
Container-title:Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
language:en
Short-container-title:Phil. Trans. R. Soc. A.

Author:

Gómez-Serrano Javier¹²³^ORCID,Park Jaemin²,Shi Jia⁴,Yao Yao⁵

Affiliation:

1. Department of Mathematics, Brown University, Kassar House, 151 Thayer Street, Providence, RI 02912, USA

2. Departament de Matemàtiques i Informàtica, Universitat de Barcelona, Gran Via de les Corts Catalanes, 585, 08007 Barcelona, Spain

3. Centre de Recerca Matemàtica, Edici C, Campus Bellaterra, 08193 Bellaterra, Spain

4. Department of Mathematics, Princeton University, 409 Fine Hall, Washington Rd, Princeton, NJ 08544, USA

5. Department of Mathematics, National University of Singapore, 10 Lower Kent Ridge Road, Singapore 119076

Abstract

In this paper, we construct new, uniformly rotating solutions of the vortex sheet equation bifurcating from circles with constant vorticity amplitude. The proof is accomplished via a Lyapunov–Schmidt reduction and a second-order expansion of the reduced system. This article is part of the theme issue ‘Mathematical problems in physical fluid dynamics (part 2)’.

Funder

H2020 European Research Council

Division of Mathematical Sciences

Alfred P. Sloan Foundation

Publisher

The Royal Society

Subject

General Physics and Astronomy,General Engineering,General Mathematics

Link

https://royalsocietypublishing.org/doi/pdf/10.1098/rsta.2021.0045

Reference45 articles.

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