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arXiv · 1705.00603

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

Hirokazu Saito
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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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Hirokazu Saito. 2017-05-01. Compressible fluid model of Korteweg type with free boundary condition: model problem. https://arxiv.org/abs/1705.00603

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