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

Miho Murata; Yoshihiro Shibata

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

School of Fundamental Science and Engineering

Research output: Contribution to journal › Article › peer-review

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 R^N, N ≥ 3. In this study, the main tools are the maximal Lp-Lq regularity and Lp-Lq decay properties of solutions to the linearized equations.

Original language	English
Journal	Unknown Journal
Publication status	Published - 2019 Aug 20

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title = "The global well-posedness for the compressible fluid model of Korteweg type",

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 RN, N ≥ 3. In this study, the main tools are the maximal Lp-Lq regularity and Lp-Lq decay properties of solutions to the linearized equations.",

author = "Miho Murata and Yoshihiro Shibata",

year = "2019",

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language = "English",

journal = "Nuclear Physics A",

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AB - 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 RN, N ≥ 3. In this study, the main tools are the maximal Lp-Lq regularity and Lp-Lq decay properties of solutions to the linearized equations.

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