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Compressible fluid model of Korteweg type with free boundary condition: model problem (1705.00603v2)
Published 1 May 2017 in math.AP
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.
