Existence and qualitative aspects of geophysical water waves

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Matioc, Anca-Voichita: Existence and qualitative aspects of geophysical water waves. Hannover : Gottfried Wilhelm Leibniz Universität, Habil.-Schr., 2018, 17 S. DOI: https://doi.org/10.15488/3881

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The object of geophysical fluid dynamics is the study of naturally occurring flows on the Earth. Most of the problems that arise are at the large-scale end, where either the rotation of the Earth or density differences (warm and cold air masses, fresh and saline waters) or both are of importance. In this regard, geophysical fluid dynamics comprises rotating-stratified fluid flows. This thesis consists of eleven research papers which are grouped into two parts. The first part is dedicated to the study of nonlinear capillary-gravity water waves traveling at the surface of rotational flows with rough vorticities or of flows with a vertical layering (continuous resp. discontinuous) of density, the emphasis being on developing a rigorous existence theory. The papers collected in the second part of the thesis investigate the existence and the qualitative properties of equatorial geophysical water flows with Coriolis effects in the so-called f-plane approximation. In this part we also present several explicit solutions describing equatorial water flows in the f-plane approximation in different geophysical scenarios −deep-water waves, edge waves, stratified flows− and we analyze their properties.
License of this version: CC BY 3.0 DE
Document Type: doctoralThesis
Publishing status: publishedVersion
Issue Date: 2018
Appears in Collections:Fakultät für Mathematik und Physik
Habilitationen

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pos. country downloads
total perc.
1 image of flag of Germany Germany 114 84.44%
2 image of flag of China China 5 3.70%
3 image of flag of United States United States 4 2.96%
4 image of flag of New Zealand New Zealand 2 1.48%
5 image of flag of Canada Canada 2 1.48%
6 image of flag of South Africa South Africa 1 0.74%
7 image of flag of No geo information available No geo information available 1 0.74%
8 image of flag of Taiwan Taiwan 1 0.74%
9 image of flag of Czech Republic Czech Republic 1 0.74%
10 image of flag of Austria Austria 1 0.74%
    other countries 3 2.22%

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