Work

Horizontally periodic generalised surface quasigeostrophic patches and layers

Year: 2025

Type: article

Abstract: We study solutions to the α-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 α for which α-SQG lies strictly between the Euler and SQG equations.

Source: Nonlinearity

DOI: 10.1088/1361-6544/ae05e1

Authors: David M Ambrose, Fazel Hadadifard, James P Kelliher

Institutions: Drexel University, California State University, San Marcos, University of California, Riverside

Language: English

Topic: Navier-Stokes equation solutions

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,325

Funder: Division of Mathematical Sciences