Asymptotic analysis for Korteweg models

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Date
2010
Volume
1545
Issue
Journal
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Publisher
Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik
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Abstract

This paper deals with a sharp interface limit of the isothermal Navier-Stokes-Korteweg system. The sharp interface limit is performed by matched asymptotic expansions of the fields in powers of the interface width. These expansions are considered in the interfacial region (inner expansions) and in the bulk (outer expansion) and are matched order by order. Particularly we consider the first orders of the corresponding inner equations obtained by a change of coordinates in an interfacial layer. For a specific scaling we establish solvability criteria for these inner equations and recover the results within the general setting of jump conditions for sharp interface models.

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Keywords
Liquid vapor flow, phase transition, asymptotic analysis, sharp interface limit
Citation
Dreyer, W., Giesselmann, J., Kraus, C., & Rohde, C. (2010). Asymptotic analysis for Korteweg models (Vol. 1545). Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik.
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