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

Von:

Agrawal, Siddhant [VerfasserIn]

Resource type: Ressourcentyp: BuchBuchSprache: Englisch Reihen: American Mathematical Society. Memoirs of the American Mathematical Society ; volume 293, number 1458 (January 2024)Verlag: Providence, RI : American Mathematical Society, [2024]Beschreibung: v, 124 SeitenISBN:

9781470467388

Andere physische Formen: 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)MSC: MSC: 35Q35 | 76B15 | 76B45Zusammenfassung: 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.Zusammenfassung: Keywords: Water waves, surface tension, singular solutionsPPN: PPN: 1882407245

Exemplare ( 1 )

Exemplare
Medientyp	Heimatbibliothek	Standort	Signatur	Status	Fälligkeitsdatum	Barcode	Vormerkungen
Institutsbestand	Fachbibliothek Mathematik	Bibliothek / frei aufgestellt	Z 57 c-293.2024,1458	Nicht ausleihbar

Anzahl Vormerkungen: 0