具有自由边界条件的Korteweg型可压缩流体模型：模型问题

IF 0.7 4区数学 Q2 MATHEMATICS

Funkcialaj Ekvacioj-Serio Internacia Pub Date : 2017-05-01 DOI:10.1619/fesi.62.337

Hirokazu Saito

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引用次数: 10

摘要

本文的目的是证明由具有自由边界条件的Korteweg型可压缩流体模型引起的上半空间上的预解问题的$｛\mathcal R｝$有界解算子族的存在性。Dunn和Serrin（1985）导出了这种可压缩流体模型，Kotschote（2008）将其作为具有防滑边界条件的边值问题进行了研究。

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Compressible Fluid Model of Korteweg Type with Free Boundary Condition: Model Problem

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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