Work

Existence and uniqueness of stratified Antarctic flows

Year: 2026

Type: article

Abstract: We analyse a second-order boundary value problem arising from the motion of stratified ocean flows in Antarctica. Using a Lyapunov-type function and the monotonicity properties of the density function and of the oceanic vorticity, we prove results on the existence and uniqueness of solutions of the problem under consideration. Finally, we discuss possible extensions of the model that admit unique solutions for more general cases of density distribution.

Source: Applied Mathematics Letters

DOI: 10.1016/j.aml.2026.109883

Authors: Jifeng Chu, Kateryna Marynets, Zihao Wang

Institutions: Hangzhou Normal University, Delft University of Technology, Shanghai Normal University

Language: English

Topic: Oceanographic and Atmospheric Processes

Subfield: Oceanography

Field: Earth and Planetary Sciences

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,800

Funders: National Natural Science Foundation of China, Science and Technology Innovation Plan Of Shanghai Science and Technology Commission, Natural Science Foundation of Zhejiang Province