Reduced ODE Models Describing Coarsening Dynamics of Liquid Droplets | Derivation, Analysis and Numerics of Reduced ODE Models Describing Coarsening Dynamics of Liquid Droplets

Georgy Kitavtsev

ISBN 10: 383812328X / ISBN 13: 9783838123288

Published by Südwestdeutscher Verlag für Hochschulschriften, 2015

About this Item

Reduced ODE Models Describing Coarsening Dynamics of Liquid Droplets | Derivation, Analysis and Numerics of Reduced ODE Models Describing Coarsening Dynamics of Liquid Droplets | Georgy Kitavtsev | Taschenbuch | 120 S. | Englisch | 2015 | Südwestdeutscher Verlag für Hochschulschriften | EAN 9783838123288 | Verantwortliche Person für die EU: preigu GmbH & Co. KG, Lengericher Landstr. 19, 49078 Osnabrück, mail[at]preigu[dot]de | Anbieter: preigu.

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Bibliographic Details

• Title: Reduced ODE Models Describing Coarsening Dynamics of Liquid Droplets | Derivation, Analysis and Numerics of Reduced ODE Models Describing Coarsening Dynamics of Liquid Droplets
• Publisher: Südwestdeutscher Verlag für Hochschulschriften
• Publication Date: 2015
• Language: English
• ISBN 10: 383812328X
• ISBN 13: 9783838123288
• Binding: Taschenbuch
• Condition: Neu
• Dimensions: 220W x 150H x 8D millimeters 220 millimeters width by 150 millimeters height by 8 millimeters depth
• Weight: 197 grams
• Seller catalogs:
  • Bücher

About this title

Synopsis

In this dissertation we consider the topic of derivation, analysis and numerics of reduced ODE models corresponding to a family of one-dimensional lubrication equations. This family describes the dewetting process of nanoscopic thin liquid films on hydrophobized polymer substrates due to the presence of the long-range attractive van der Waals and short-range Born repulsive intermolecular forces and takes account of all possible ranges of slip-lengths at the polymer substrate interface. The final stages of the dewetting process are characterized by a slow-time coarsening dynamics of the remaining droplets that are separated and interact with each other through a nanoscopic ultra thin liquid layer. Reduced ODE models derived from underlying lubrication equations allow for an efficient analytical and numerical investigation of the coarsening process. Our interests in this study are to investigate the influence of slip-length on the coarsening dynamics using the derived reduced ODE models and to suggest methods for rigorous justification of these models.

About the Author

Georgy Kitavtsev was born in Moscow, Russia in 1981. He completedhis diploma at the Bauman Moscow State Technical University in2005 and his Ph.D at the Humboldt University of Berlin in 2009.At present he works as a researcher at the the Max PlanckInstitute for Mathematics in the Sciences in Leipzig, Germany.