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

^*Corresponding author for this work

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

19 Citations (Scopus)

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 L_p framework and the sharp inner estimate of the resolvent set is obtained.

Original language	English
Pages (from-to)	1579-1606
Number of pages	28
Journal	Mathematical Methods in the Applied Sciences
Volume	27
Issue number	13
DOIs	https://doi.org/10.1002/mma.518
Publication status	Published - 2004 Sept 10
Externally published	Yes

Keywords

Compressible viscous fluid flow
L framework
Resolvent estimate

ASJC Scopus subject areas

Mathematics(all)
Engineering(all)

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10.1002/mma.518

Cite this

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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",

author = "Yoshihiro Shibata and Koumei Tanaka",

year = "2004",

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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

Abstract

Keywords

ASJC Scopus subject areas

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