A two-phase flow with a viscous and an inviscid fluid
Journal Article
·
· Communications in Partial Differential Equations
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, Journal Name: Communications in Partial Differential Equations Journal Issue: 5-6 Vol. 25; ISSN 0360-5302; ISSN CPDIDZ
- Country of Publication:
- United States
- Language:
- English
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