Compressible fluid model of Korteweg type with free boundary condition: model problem

2017/05/01 by Saito, Hirokazu
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1705.00603

Abstract

The aim of this paper is to prove the existence of \mathcal R-bounded solution operator families for a resolvent problem on the upper half-space arising from a compressible fluid model of Korteweg type with free boundary condition. Such a compressible fluid model was derived by Dunn and Serrin (1985) and studied by Kotschote (2008) as a boundary value problem with non-slip boundary condition.

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