Asymptotic analysis for Korteweg models

作者：Dreyer Wolfgang^*; Giesselmann Jan; Kraus Christiane; Rohde Christian

来源：Interfaces and Free Boundaries, 2012, 14(1): 105-143.

DOI：10.4171/IFB/275

• Liquid vapor flow
• phase transition
• asymptotic analysis
• sharp interface limit

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 epsilon. 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.

• 出版日期2012