On a resolvent problem for the linearized system from the dynamical system describing the compressible viscous fluid motion

Yoshihiro Shibata; Koumei Tanaka

doi:10.1002/mma.518

On a resolvent problem for the linearized system from the dynamical system describing the compressible viscous fluid motion

Yoshihiro Shibata^*, Koumei Tanaka

^*この研究の対応する著者

研究成果: Article › 査読

19 被引用数 (Scopus)

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The linearized initial boundary value problem describing the motion of the viscous compressible fluid is studied under Dirichlet zero condition in bounded and unbounded domains. The resolvent estimate for the corresponding operator is proved in the L_p framework and the sharp inner estimate of the resolvent set is obtained.

本文言語	English
ページ（範囲）	1579-1606
ページ数	28
ジャーナル	Mathematical Methods in the Applied Sciences
巻	27
号	13
DOI	https://doi.org/10.1002/mma.518
出版ステータス	Published - 2004 9月 10
外部発表	はい

ASJC Scopus subject areas

数学 (全般)
工学（全般）

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10.1002/mma.518

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abstract = "The linearized initial boundary value problem describing the motion of the viscous compressible fluid is studied under Dirichlet zero condition in bounded and unbounded domains. The resolvent estimate for the corresponding operator is proved in the Lp framework and the sharp inner estimate of the resolvent set is obtained.",

keywords = "Compressible viscous fluid flow, L framework, Resolvent estimate",

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AU - Tanaka, Koumei

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N2 - The linearized initial boundary value problem describing the motion of the viscous compressible fluid is studied under Dirichlet zero condition in bounded and unbounded domains. The resolvent estimate for the corresponding operator is proved in the Lp framework and the sharp inner estimate of the resolvent set is obtained.

AB - The linearized initial boundary value problem describing the motion of the viscous compressible fluid is studied under Dirichlet zero condition in bounded and unbounded domains. The resolvent estimate for the corresponding operator is proved in the Lp framework and the sharp inner estimate of the resolvent set is obtained.

KW - Compressible viscous fluid flow

KW - L framework

KW - Resolvent estimate

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On a resolvent problem for the linearized system from the dynamical system describing the compressible viscous fluid motion

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