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Reduced ODE Models Describing Coarsening Dynamics of Liquid Droplets: Derivation, Analysis and Numerics of Reduced ODE Models Describing Coarsening Dynamics of Liquid Droplets - Softcover
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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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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.
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Reduced ODE Models Describing Coarsening Dynamics of Liquid Droplets
ISBN 10: 383812328X
ISBN 13: 9783838123288
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Anbieter: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Deutschland
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Taschenbuch. Zustand: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 120 pp. Englisch. Bestandsnummer des Verkäufers 9783838123288
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Reduced ODE Models Describing Coarsening Dynamics of Liquid Droplets : Derivation, Analysis and Numerics of Reduced ODE Models Describing Coarsening Dynamics of Liquid Droplets
Verlag:
Südwestdeutscher Verlag Für Hochschulschriften, 2011
ISBN 10: 383812328X
ISBN 13: 9783838123288
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Taschenbuch. Zustand: Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - 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. Bestandsnummer des Verkäufers 9783838123288
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Reduced ODE Models Describing Coarsening Dynamics of Liquid Droplets
Verlag:
Südwestdeutscher Verlag für Hochschulschriften, 2011
ISBN 10: 383812328X
ISBN 13: 9783838123288
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Zustand: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Autor/Autorin: Kitavtsev GeorgyGeorgy 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 re. Bestandsnummer des Verkäufers 5406673
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Reduced ODE Models Describing Coarsening Dynamics of Liquid Droplets
Verlag:
Südwestdeutscher Verlag Für Hochschulschriften Jan 2011, 2011
ISBN 10: 383812328X
ISBN 13: 9783838123288
Neu
Taschenbuch
Anbieter: buchversandmimpf2000, Emtmannsberg, BAYE, Deutschland
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Taschenbuch. Zustand: Neu. This item is printed on demand - Print on Demand Titel. Neuware -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.VDM Verlag, Dudweiler Landstraße 99, 66123 Saarbrücken 120 pp. Englisch. Bestandsnummer des Verkäufers 9783838123288
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