A Stable Self-Similar Singularity of Evaporating Drops: Ellipsoidal Collapse to a Point
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| 024 | 7 | 0 | |a 10.1007/s00205-014-0834-x |2 doi |
| 035 | |a (NATIONALLICENCE)springer-10.1007/s00205-014-0834-x | ||
| 245 | 0 | 2 | |a A Stable Self-Similar Singularity of Evaporating Drops: Ellipsoidal Collapse to a Point |h [Elektronische Daten] |c [Marco Fontelos, Seok Hong, Hyung Hwang] |
| 520 | 3 | |a 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. | |
| 540 | |a Springer-Verlag Berlin Heidelberg, 2014 | ||
| 700 | 1 | |a Fontelos |D Marco |u Instituto de Ciencias Matemáticas (ICMAT), C/Nicolás Cabrera, 28049, Madrid, Spain |4 aut | |
| 700 | 1 | |a Hong |D Seok |u Department of Mathematics, Pohang University of Science and Technology, 790-784, Pohang, Republic of Korea |4 aut | |
| 700 | 1 | |a Hwang |D Hyung |u Department of Mathematics, Pohang University of Science and Technology, 790-784, Pohang, Republic of Korea |4 aut | |
| 773 | 0 | |t Archive for Rational Mechanics and Analysis |d Springer Berlin Heidelberg |g 217/2(2015-08-01), 373-411 |x 0003-9527 |q 217:2<373 |1 2015 |2 217 |o 205 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s00205-014-0834-x |q text/html |z Onlinezugriff via DOI |
| 898 | |a BK010053 |b XK010053 |c XK010000 | ||
| 900 | 7 | |a Metadata rights reserved |b Springer special CC-BY-NC licence |2 nationallicence | |
| 908 | |D 1 |a research-article |2 jats | ||
| 949 | |B NATIONALLICENCE |F NATIONALLICENCE |b NL-springer | ||
| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.1007/s00205-014-0834-x |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Fontelos |D Marco |u Instituto de Ciencias Matemáticas (ICMAT), C/Nicolás Cabrera, 28049, Madrid, Spain |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Hong |D Seok |u Department of Mathematics, Pohang University of Science and Technology, 790-784, Pohang, Republic of Korea |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Hwang |D Hyung |u Department of Mathematics, Pohang University of Science and Technology, 790-784, Pohang, Republic of Korea |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Archive for Rational Mechanics and Analysis |d Springer Berlin Heidelberg |g 217/2(2015-08-01), 373-411 |x 0003-9527 |q 217:2<373 |1 2015 |2 217 |o 205 | ||