# 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}

}

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