Stratified periodic water waves with singular density gradients

URN to cite this document:: urn:nbn:de:bvb:355-epub-446726
DOI to cite this document:: 10.5283/epub.44672

Matioc, Bogdan‑Vasile ; Escher, Joachim

; Knopf, Patrik ; Lienstromberg, Christina

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Date of publication of this fulltext: 02 Feb 2021 13:40

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Abstract

We consider Euler's equations for free surface waves traveling on a body of density stratified water in the scenario when gravity and surface tension act as restoring forces. The flow is continuously stratified, and the water layer is bounded from below by an impermeable horizontal bed. For this problem we establish three equivalent classical formulations in a suitable setting of strong solutions ...