Boundary Layer Formation in the Quasigeostrophic Model Near Nonperiodic Rough Coasts

نویسندگان

چکیده

We study the so-called homogeneous model of wind-driven ocean circulation or 2D quasigeostrophic model. Our attention focuses on performing a complete asymptotic analysis that highlights boundary layer formation along coastal line. assume rough coasts without any particular structure, resulting in nonlinear PDE system for western an infinite domain. As consequence, we look solution nonlocalized Sobolev spaces. Under this hypothesis, eastern exhibits singular behavior at low frequencies far from boundary, leading to issues with convergence. The problem is tackled by imposing ergodicity properties. establish well-posedness governing equations and solution. results generalize ones Bresch Gérard-Varet (Commun Math Phys 253(1):81–119, 2005) periodic irregularities.

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ژورنال

عنوان ژورنال: Archive for Rational Mechanics and Analysis

سال: 2023

ISSN: ['0003-9527', '1432-0673']

DOI: https://doi.org/10.1007/s00205-023-01846-z