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arXiv · 1901.06461

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

Hirokazu Saito
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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.

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Hirokazu Saito. 2019-01-19. Existence of $\mathcal{R}$-bounded solution operator families for a compressible fluid model of Korteweg type on the half-space. https://arxiv.org/abs/1901.06461

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