English

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

Analysis of PDEs 2018-01-16 v2

Abstract

The aim of this paper is to prove the existence of R{\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.

Keywords

Cite

@article{arxiv.1705.00603,
  title  = {Compressible fluid model of Korteweg type with free boundary condition: model problem},
  author = {Hirokazu Saito},
  journal= {arXiv preprint arXiv:1705.00603},
  year   = {2018}
}