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Journal article
Horizontally periodic generalised surface quasigeostrophic patches and layers
Nonlinearity, v 38(9), 095032
29 Sep 2025
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Abstract
<p>We study solutions to the alpha-SQG equations, which interpolate between the incompressible Euler and surface quasi-geostrophic equations. We extend prior results on existence of bounded patches, proving propagation of Hk-regularity of the patch boundary, k >= 3, for finite time for patches that are periodic in one spatial dimension. Such periodic patches also encompass layers, or two-sided fronts. As the authors have treated the Euler case in prior work, we now primarily focus on the range of alpha for which alpha-SQG lies strictly between the Euler and SQG equations.</p>
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Details
- Title
- Horizontally periodic generalised surface quasigeostrophic patches and layers
- Creators
- David M Ambrose (Corresponding Author) - Drexel UniversityFazel Hadadifard - California State University, San MarcosJames P Kelliher - University of California, Riverside
- Publication Details
- Nonlinearity, v 38(9), 095032
- Publisher
- IOP Publishing
- Number of pages
- 52
- Grants
- Well-Posedness and Singularity Formation in Applied Free Boundary Problems, 2307638, National Science Foundation (United States, Arlington) - NSF
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- Mathematics
- Web of Science ID
- WOS:001583387800001
- Scopus ID
- 2-s2.0-105017384927
- Other Identifier
- 991022118661604721
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- Collaboration types
- Domestic collaboration
- Web of Science research areas
- Mathematics, Applied
- Physics, Mathematical