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arXiv · 1908.07224

The global well-posedness for the compressible fluid model of Korteweg type

Miho Murata·Yoshihiro Shibata
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Abstract

In this paper, we consider the compressible fluid model of Korteweg type which can be used as a phase transition model. It is shown that the system admits a unique, global strong solution for small initial data in $\mathbb R^N$, $N \geq 3$. In this study, the main tools are the maximal $L_p$-$L_q$ regularity and $L_p$-$L_q$ decay properties of solutions to the linearized equations.

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Miho Murata, Yoshihiro Shibata. 2019-08-20. The global well-posedness for the compressible fluid model of Korteweg type. https://arxiv.org/abs/1908.07224

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