Minimizers of Anisotropic Surface Tensions Under Gravity: Higher Dimensions via Symmetrization
We consider a variational model describing the shape of liquid drops and crystals under the influence of gravity, resting on a horizontal surface. Making use of anisotropic symmetrization techniques, we establish the existence, convexity and symmetry of minimizers for a class of surface tensions adm...
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| 格式: | 文件 |
| 语言: | English |
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Springer Berlin Heidelberg
2016
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| 在线阅读: | http://hdl.handle.net/1721.1/104380 https://orcid.org/0000-0002-8283-8661 |
| _version_ | 1826204232351481856 |
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| author | Baer, Eric |
| author2 | Massachusetts Institute of Technology. Department of Mathematics |
| author_facet | Massachusetts Institute of Technology. Department of Mathematics Baer, Eric |
| author_sort | Baer, Eric |
| collection | MIT |
| description | We consider a variational model describing the shape of liquid drops and crystals under the influence of gravity, resting on a horizontal surface. Making use of anisotropic symmetrization techniques, we establish the existence, convexity and symmetry of minimizers for a class of surface tensions admissible to the symmetrization procedure. In the case of smooth surface tensions, we obtain the uniqueness of minimizers via an ODE characterization. |
| first_indexed | 2024-09-23T12:51:00Z |
| format | Article |
| id | mit-1721.1/104380 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T12:51:00Z |
| publishDate | 2016 |
| publisher | Springer Berlin Heidelberg |
| record_format | dspace |
| spelling | mit-1721.1/1043802022-09-28T10:29:37Z Minimizers of Anisotropic Surface Tensions Under Gravity: Higher Dimensions via Symmetrization Baer, Eric Massachusetts Institute of Technology. Department of Mathematics Baer, Eric We consider a variational model describing the shape of liquid drops and crystals under the influence of gravity, resting on a horizontal surface. Making use of anisotropic symmetrization techniques, we establish the existence, convexity and symmetry of minimizers for a class of surface tensions admissible to the symmetrization procedure. In the case of smooth surface tensions, we obtain the uniqueness of minimizers via an ODE characterization. National Science Foundation (U.S.). (Award No. DMS-1204557) 2016-09-22T22:45:35Z 2016-09-22T22:45:35Z 2014-08 2016-08-18T15:23:45Z Article http://purl.org/eprint/type/JournalArticle 0003-9527 1432-0673 http://hdl.handle.net/1721.1/104380 Baer, Eric. “Minimizers of Anisotropic Surface Tensions Under Gravity: Higher Dimensions via Symmetrization.” Archive for Rational Mechanics and Analysis 215.2 (2015): 531–578. https://orcid.org/0000-0002-8283-8661 en http://dx.doi.org/10.1007/s00205-014-0788-z Archive for Rational Mechanics and Analysis Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. Springer-Verlag Berlin Heidelberg application/pdf Springer Berlin Heidelberg Springer Berlin Heidelberg |
| spellingShingle | Baer, Eric Minimizers of Anisotropic Surface Tensions Under Gravity: Higher Dimensions via Symmetrization |
| title | Minimizers of Anisotropic Surface Tensions Under Gravity: Higher Dimensions via Symmetrization |
| title_full | Minimizers of Anisotropic Surface Tensions Under Gravity: Higher Dimensions via Symmetrization |
| title_fullStr | Minimizers of Anisotropic Surface Tensions Under Gravity: Higher Dimensions via Symmetrization |
| title_full_unstemmed | Minimizers of Anisotropic Surface Tensions Under Gravity: Higher Dimensions via Symmetrization |
| title_short | Minimizers of Anisotropic Surface Tensions Under Gravity: Higher Dimensions via Symmetrization |
| title_sort | minimizers of anisotropic surface tensions under gravity higher dimensions via symmetrization |
| url | http://hdl.handle.net/1721.1/104380 https://orcid.org/0000-0002-8283-8661 |
| work_keys_str_mv | AT baereric minimizersofanisotropicsurfacetensionsundergravityhigherdimensionsviasymmetrization |