caa a22 4500 605515670 CHVBK 20210128100710.0 cr unu---uuuuu 210128e20150801xx s 000 0 eng 10.1007/s00205-014-0834-x doi (NATIONALLICENCE)springer-10.1007/s00205-014-0834-x A Stable Self-Similar Singularity of Evaporating Drops: Ellipsoidal Collapse to a Point [Elektronische Daten] [Marco Fontelos, Seok Hong, Hyung Hwang] 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. Springer-Verlag Berlin Heidelberg, 2014 Fontelos Marco Instituto de Ciencias Matemáticas (ICMAT), C/Nicolás Cabrera, 28049, Madrid, Spain aut Hong Seok Department of Mathematics, Pohang University of Science and Technology, 790-784, Pohang, Republic of Korea aut Hwang Hyung Department of Mathematics, Pohang University of Science and Technology, 790-784, Pohang, Republic of Korea aut Archive for Rational Mechanics and Analysis Springer Berlin Heidelberg 217/2(2015-08-01), 373-411 0003-9527 217:2<373 2015 217 205 https://doi.org/10.1007/s00205-014-0834-x text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s00205-014-0834-x text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Fontelos Marco Instituto de Ciencias Matemáticas (ICMAT), C/Nicolás Cabrera, 28049, Madrid, Spain aut NATIONALLICENCE 700 1- Hong Seok Department of Mathematics, Pohang University of Science and Technology, 790-784, Pohang, Republic of Korea aut NATIONALLICENCE 700 1- Hwang Hyung Department of Mathematics, Pohang University of Science and Technology, 790-784, Pohang, Republic of Korea aut NATIONALLICENCE 773 0- Archive for Rational Mechanics and Analysis Springer Berlin Heidelberg 217/2(2015-08-01), 373-411 0003-9527 217:2<373 2015 217 205