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

Journal Article · Thu Jun 01 00:00:00 EDT 2000 · Communications in Partial Differential Equations

DOI:https://doi.org/10.1080/03605300008821535· OSTI ID:20067696

Schweizer, B

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.

• Research Organization: Inst. fuer Angewandte Mathematik, Heidelberg (DE)
• OSTI ID: 20067696
• Journal Information: Communications in Partial Differential Equations, Vol. 25, Issue 5-6; Other Information: PBD: May-Jun 2000; ISSN 0360-5302
• Country of Publication: United States
• Language: English

Related Subjects

42 ENGINEERING
TWO-PHASE FLOW
FLUIDS
NAVIER-STOKES EQUATIONS
EQUATIONS OF MOTION
SURFACE TENSION
VISCOSITY