# On singularities of capillary surfaces in the absence of gravity

## Abstract

We study numerical solutions to the equation of capillary surfaces in trapezoidal domains in the absence of gravity when the boundary contact angle declines from $90\xb0$ to some critical value. We also discuss a result on the behavior of solutions in more general domains that confirms numerical calculations.

- Authors:

- Lawrence Berkeley Laboratory, University of California, Berkeley, California 94720, USA

- Publication Date:

- Sponsoring Org.:
- USDOE

- OSTI Identifier:
- 1198189

- Grant/Contract Number:
- W-7405-ENG-48; C-32819-D

- Resource Type:
- Published Article

- Journal Name:
- International Journal of Mathematics and Mathematical Sciences

- Additional Journal Information:
- Journal Name: International Journal of Mathematics and Mathematical Sciences Journal Volume: 6 Journal Issue: 1; Journal ID: ISSN 0161-1712

- Publisher:
- Hindawi Publishing Corporation

- Country of Publication:
- Country unknown/Code not available

- Language:
- English

### Citation Formats

```
Roytburd, V. On singularities of capillary surfaces in the absence of gravity. Country unknown/Code not available: N. p., 1983.
Web. doi:10.1155/S0161171283000058.
```

```
Roytburd, V. On singularities of capillary surfaces in the absence of gravity. Country unknown/Code not available. doi:10.1155/S0161171283000058.
```

```
Roytburd, V. Sat .
"On singularities of capillary surfaces in the absence of gravity". Country unknown/Code not available. doi:10.1155/S0161171283000058.
```

```
@article{osti_1198189,
```

title = {On singularities of capillary surfaces in the absence of gravity},

author = {Roytburd, V.},

abstractNote = {We study numerical solutions to the equation of capillary surfaces in trapezoidal domains in the absence of gravity when the boundary contact angle declines from 90 ° to some critical value. We also discuss a result on the behavior of solutions in more general domains that confirms numerical calculations.},

doi = {10.1155/S0161171283000058},

journal = {International Journal of Mathematics and Mathematical Sciences},

number = 1,

volume = 6,

place = {Country unknown/Code not available},

year = {1983},

month = {1}

}

Free Publicly Available Full Text

Publisher's Version of Record

DOI: 10.1155/S0161171283000058

DOI: 10.1155/S0161171283000058

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