On stratified steady periodic water waves with linear density distribution and stagnation points |
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Authors: | Joachim Escher Bogdan-Vasile Matioc |
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Institution: | Institut für Angewandte Mathematik, Leibniz Universität Hannover, Welfengarten 1, 30167 Hannover, Germany |
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Abstract: | We use bifurcation theory to construct small periodic gravity stratified water waves with density which depends linearly upon the pseudostream function. As a special feature the density may also decrease with depth and the waves we obtain may posses two different critical layers with cat?s eye vortices. Within the vortex, the density of the fluid has an extremum at the stagnation point. |
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Keywords: | 35Q35 76B70 76B47 |
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