Existence of $\mathcal{R}$-bounded solution operator families for a compressible fluid model of Korteweg type on the half-space

Abstract

The aim of this paper is to show the existence of $\mathcal{R}$-bounded solution operator families for a generalized resolvent problem on the half-space arising from a compressible fluid model of Korteweg type. Such a compressible fluid model was derived by Dunn and Serrin (1985) and studied by Kotschote (2008) as an initial-boundary value problem.

Cited by in corpus (1)

• Unique solvability of elliptic problems associated with two-phase incompressible flows in unbounded domains