On the local existence of the free-surface Euler equation with surface tension

Mihaela Ignatova; Igor Kukavica

doi:10.3233/ASY-161386

On the local existence of the free-surface Euler equation with surface tension

Mihaela Ignatova, Igor Kukavica

Mathematics

Research output: Contribution to journal › Article › peer-review

14 Scopus citations

Abstract

We address the existence of solutions for the free-surface Euler equation with surface tension in a bounded domain. Considering the problem in Lagrangian variables we provide a priori estimates leading to existence of local solutions with the initial velocity in H^3.5 for which the trace on the free boundary belongs to H^3.5.

Original language	English (US)
Pages (from-to)	63-86
Number of pages	24
Journal	Asymptotic Analysis
Volume	100
Issue number	1-2
DOIs	https://doi.org/10.3233/ASY-161386
State	Published - 2016

All Science Journal Classification (ASJC) codes

General Mathematics

Keywords

Euler equations
free boundary
surface tension

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10.3233/ASY-161386

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title = "On the local existence of the free-surface Euler equation with surface tension",

abstract = "We address the existence of solutions for the free-surface Euler equation with surface tension in a bounded domain. Considering the problem in Lagrangian variables we provide a priori estimates leading to existence of local solutions with the initial velocity in H3.5 for which the trace on the free boundary belongs to H3.5.",

keywords = "Euler equations, free boundary, surface tension",

author = "Mihaela Ignatova and Igor Kukavica",

note = "Publisher Copyright: {\textcopyright} 2016 - IOS Press and the authors.",

year = "2016",

doi = "10.3233/ASY-161386",

language = "English (US)",

volume = "100",

pages = "63--86",

journal = "Asymptotic Analysis",

issn = "0921-7134",

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TY - JOUR

T1 - On the local existence of the free-surface Euler equation with surface tension

AU - Ignatova, Mihaela

AU - Kukavica, Igor

PY - 2016

Y1 - 2016

N2 - We address the existence of solutions for the free-surface Euler equation with surface tension in a bounded domain. Considering the problem in Lagrangian variables we provide a priori estimates leading to existence of local solutions with the initial velocity in H3.5 for which the trace on the free boundary belongs to H3.5.

AB - We address the existence of solutions for the free-surface Euler equation with surface tension in a bounded domain. Considering the problem in Lagrangian variables we provide a priori estimates leading to existence of local solutions with the initial velocity in H3.5 for which the trace on the free boundary belongs to H3.5.

KW - Euler equations

KW - free boundary

KW - surface tension

UR - https://www.scopus.com/pages/publications/84994157742

UR - https://www.scopus.com/inward/citedby.url?scp=84994157742&partnerID=8YFLogxK

U2 - 10.3233/ASY-161386

DO - 10.3233/ASY-161386

M3 - Article

AN - SCOPUS:84994157742

SN - 0921-7134

VL - 100

SP - 63

EP - 86

JO - Asymptotic Analysis

JF - Asymptotic Analysis

IS - 1-2

ER -

On the local existence of the free-surface Euler equation with surface tension

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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