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Small-Time Solvability of the Primitive Equations for the Coupled Atmosphere and Ocean Model

Small-Time Solvability of the Primitive Equations for the Coupled Atmosphere and Ocean Model In this paper, we analyze the two-phase free boundary problem of primitive equations for the coupled atmosphere and ocean in three-dimensional strip with surface tension. By using the p\documentclass[12pt]{minimal}\usepackage{amsmath}\usepackage{wasysym}\usepackage{amsfonts}\usepackage{amssymb}\usepackage{amsbsy}\usepackage{mathrsfs}\usepackage{upgreek}\setlength{\oddsidemargin}{-69pt}\begin{document}$p$\end{document}-coordinates and another coordinate transformation to transform formulations of the problem into the fixed time-independent domain, the local-in-time existence of a unique strong solution to the transformed problem is proved. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Acta Applicandae Mathematicae Springer Journals

Small-Time Solvability of the Primitive Equations for the Coupled Atmosphere and Ocean Model

Honda, Hirotada; Tani, Atusi
Acta Applicandae Mathematicae , Volume 184 (1) – Apr 1, 2023
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Publisher
Springer Journals
Copyright
Copyright © The Author(s), under exclusive licence to Springer Nature B.V. 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
ISSN
0167-8019
eISSN
1572-9036
DOI
10.1007/s10440-023-00555-9
Publisher site
See Article on Publisher Site

Abstract

In this paper, we analyze the two-phase free boundary problem of primitive equations for the coupled atmosphere and ocean in three-dimensional strip with surface tension. By using the p\documentclass[12pt]{minimal}\usepackage{amsmath}\usepackage{wasysym}\usepackage{amsfonts}\usepackage{amssymb}\usepackage{amsbsy}\usepackage{mathrsfs}\usepackage{upgreek}\setlength{\oddsidemargin}{-69pt}\begin{document}$p$\end{document}-coordinates and another coordinate transformation to transform formulations of the problem into the fixed time-independent domain, the local-in-time existence of a unique strong solution to the transformed problem is proved.

Journal

Acta Applicandae Mathematicae – Springer Journals

Published: Apr 1, 2023

Keywords: Primitive equations; Coupled atmosphere and ocean model; Free boundary problem; Sobolev–Slobodetskiĭ spaces; Strong solution; 35Q35; 35Q86; 35R35; 76T10; 86A10

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