skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: A two-phase flow with a viscous and an inviscid fluid

Abstract

The author studies the free boundary between a viscous and an inviscid fluid satisfying the Navier-Stokes and Euler equations respectively. Surface tension is incorporated. He read the equations as a free boundary problem for one viscous fluid with a nonlocal boundary force. He decomposes the pressure distribution in the inviscid fluid into two contributions. A positivity result for the first, and a compactness property for the second contribution are derived. He proves a short time existence theorem for the two-phase problem.

Authors:
Publication Date:
Research Org.:
Inst. fuer Angewandte Mathematik, Heidelberg (DE)
OSTI Identifier:
20067696
Alternate Identifier(s):
OSTI ID: 20067696
Resource Type:
Journal Article
Journal Name:
Communications in Partial Differential Equations
Additional Journal Information:
Journal Volume: 25; Journal Issue: 5-6; Other Information: PBD: May-Jun 2000; Journal ID: ISSN 0360-5302
Country of Publication:
United States
Language:
English
Subject:
42 ENGINEERING; TWO-PHASE FLOW; FLUIDS; NAVIER-STOKES EQUATIONS; EQUATIONS OF MOTION; SURFACE TENSION; VISCOSITY

Citation Formats

Schweizer, B. A two-phase flow with a viscous and an inviscid fluid. United States: N. p., 2000. Web. doi:10.1080/03605300008821535.
Schweizer, B. A two-phase flow with a viscous and an inviscid fluid. United States. doi:10.1080/03605300008821535.
Schweizer, B. Thu . "A two-phase flow with a viscous and an inviscid fluid". United States. doi:10.1080/03605300008821535.
@article{osti_20067696,
title = {A two-phase flow with a viscous and an inviscid fluid},
author = {Schweizer, B.},
abstractNote = {The author studies the free boundary between a viscous and an inviscid fluid satisfying the Navier-Stokes and Euler equations respectively. Surface tension is incorporated. He read the equations as a free boundary problem for one viscous fluid with a nonlocal boundary force. He decomposes the pressure distribution in the inviscid fluid into two contributions. A positivity result for the first, and a compactness property for the second contribution are derived. He proves a short time existence theorem for the two-phase problem.},
doi = {10.1080/03605300008821535},
journal = {Communications in Partial Differential Equations},
issn = {0360-5302},
number = 5-6,
volume = 25,
place = {United States},
year = {2000},
month = {6}
}