On the maximal Lp-Lq regularity for a compressible fluid model of Korteweg type on general domains

Hirokazu Saito

doi:10.1016/j.jde.2019.09.040

On the maximal L_p-L_q regularity for a compressible fluid model of Korteweg type on general domains

Hirokazu Saito

Liberal Arts

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1 Citation (Scopus)

Abstract

The aim of this paper is to show the maximal L_p-L_q regularity for a compressible fluid model of Korteweg type on general domains of the N-dimensional Euclidean space for N≥2 (e.g. bounded domains; exterior domains; half-spaces, layers, tubes, and their perturbed domains). Our approach is based on the theory of the R-boundedness for a generalized resolvent problem associated with the Korteweg-type model.

Original language	English
Pages (from-to)	2802-2851
Number of pages	50
Journal	Journal of Differential Equations
Volume	268
Issue number	6
DOIs	https://doi.org/10.1016/j.jde.2019.09.040
Publication status	Published - 5 Mar 2020

Keywords

Analytic semigroups
Compressible viscous fluids
General domains
Korteweg model
Maximal regularity
R-bounded solution operator families

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abstract = "The aim of this paper is to show the maximal Lp-Lq regularity for a compressible fluid model of Korteweg type on general domains of the N-dimensional Euclidean space for N≥2 (e.g. bounded domains; exterior domains; half-spaces, layers, tubes, and their perturbed domains). Our approach is based on the theory of the R-boundedness for a generalized resolvent problem associated with the Korteweg-type model.",

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KW - Compressible viscous fluids

KW - General domains

KW - Korteweg model

KW - Maximal regularity

KW - R-bounded solution operator families

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