Reduced ODE Models Describing Coarsening Dynamics of Liquid Droplets: Derivation, Analysis and Numerics of Reduced ODE Models Describing Coarsening Dynamics of Liquid Droplets - Couverture souple

Kitavtsev, Georgy

 
9783838123288: Reduced ODE Models Describing Coarsening Dynamics of Liquid Droplets: Derivation, Analysis and Numerics of Reduced ODE Models Describing Coarsening Dynamics of Liquid Droplets
Couverture souple
ISBN 10 : 383812328X ISBN 13 : 9783838123288
Editeur : Südwestdeutscher Verlag für Hochschulschriften, 2011

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.

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Présentation de l'éditeur

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.

Biographie de l'auteur

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.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
Südwestdeutscher Verlag für Hochschulschriften
Date d'édition
2011
Langue
anglais
ISBN 10 
383812328X
ISBN 13 
9783838123288
Reliure
Broché
Nombre de pages
120
Coordonnées du fabricant
non disponible
Personne responsable
info@bod.de
info@bod.de

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