A stable self-similar singularity of evaporating drops: ellipsoidal collapse to a point
SCIE
SCOPUS
- Title
- A stable self-similar singularity of evaporating drops: ellipsoidal collapse to a point
- Authors
- Fontelos, MA; Hong, SH; Hwang, HJ
- Date Issued
- 2015-08
- Publisher
- Springer
- Abstract
- We study the problem of evaporating drops contracting to a point. Going back to Maxwell and Langmuir, the existence of a spherical solution for which evaporating drops collapse to a point in a self-similar manner is well established in the physical literature. The diameter of the drop follows the so-called D (2) law: the second power of the drop-diameter decays linearly in time. In this study we provide a complete mathematical proof of this classical law. We prove that evaporating drops which are initially small perturbations of a sphere collapse to a point and the shape of the drop converges to a self-similar ellipsoid whose center, orientation, and semi-axes are determined by the initial shape.
- URI
- https://oasis.postech.ac.kr/handle/2014.oak/27012
- DOI
- 10.1007/S00205-014-0834-X
- ISSN
- 0003-9527
- Article Type
- Article
- Citation
- Archive for Rational Mechanics and Analysis, vol. 217, no. 2, page. 373 - 411, 2015-08
- Files in This Item:
- There are no files associated with this item.
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.