4.6 Article

On the existence of stationary patches

期刊

ADVANCES IN MATHEMATICS
卷 343, 期 -, 页码 110-140

出版社

ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.aim.2018.11.012

关键词

Incompressible; Surface quasi-geostrophic; Bifurcation theory; Stationary; Patch

资金

  1. ICMAT-Severo Ochoa grant [SEV-2015-0554]
  2. Simons Collaboration Grant [524109]
  3. NSF-DMS [1763356]
  4. [MTM2014-59488-P]
  5. Division Of Mathematical Sciences
  6. Direct For Mathematical & Physical Scien [1763356] Funding Source: National Science Foundation

向作者/读者索取更多资源

In this paper, we show the existence of the first nontrivial family of analytic stationary patch solutions of the SQG and gSQG equations. This answers an open problem in F. de la Hoz et al. (2016) [13]. (C) 2018 Elsevier Inc. All rights reserved.

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