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Angled crested like water waves with surface tension II : zero surface tension limit / Siddhant Agrawal

By: Resource type: Ressourcentyp: BuchBookLanguage: English Series: American Mathematical Society. Memoirs of the American Mathematical Society ; volume 293, number 1458 (January 2024)Publisher: Providence, RI : American Mathematical Society, [2024]Description: v, 124 SeitenISBN:
  • 9781470467388
Subject(s): Additional physical formats: 9781470477158 | Erscheint auch als: Angled Crested Like Water Waves with Surface Tension II. Online-Ausgabe 1st ed. Providence : American Mathematical Society, 2024. 1 online resource (136 pages) | Erscheint auch als: Angled crested like water waves with surface tension II. Online-Ausgabe Providence, RI : American Mathematical Society, 2024. 1 Online-Ressource (v, 124 Seiten)DDC classification:
  • 620.106
  • 531.1133 23/eng/20240315
MSC: MSC: 35Q35 | 76B15 | 76B45LOC classification:
  • QA377
Summary: Keywords: Water waves, surface tension, singular solutionsSummary: This is the second paper in a series of papers analyzing angled crested like water waves with surface tension. We consider the 2D capillary gravity water wave equation and assume that the fluid is inviscid, incompressible, irrotational and the air density is zero. In the first paper [1] we constructed a weighted energy which generalizes the energy of Kinsey and Wu [22] to the case of non-zero surface tension, and proved a local wellposedness result. In this paper we prove that under a suitable scaling regime, the zero surface tension limit of these solutions with surface tension are solutions to the gravity water wave equation which includes waves with angled crests.PPN: PPN: 1882407245
Holdings
Item type Home library Shelving location Call number Status
Institutsbestand Fachbibliothek Mathematik Bibliothek / frei aufgestellt Z 57 c-293.2024,1458 Nicht ausleihbar
Total holds: 0
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