Analyticity of the semigroup generated by the operator of a viscous compressible fluid

Alexander Kozhevnikov

doi:10.1002/(SICI)1099-1476(19990110)22:1<1::AID-MMA17>3.0.CO;2-M

Analyticity of the semigroup generated by the operator of a viscous compressible fluid

Alexander Kozhevnikov

Department of Mathematics

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

Abstract

The linearized initial-boundary value problem describing small motions of the viscous, barotropic compressible fluid in a bounded vessel is studied under various boundary conditions (Dirichlet, Neumann and intermediate). It is shown that the corresponding operator generates an analytic semigroup in the space L₂.

Original language	English
Pages (from-to)	1-11
Number of pages	11
Journal	Mathematical Methods in the Applied Sciences
Volume	22
Issue number	1
DOIs	https://doi.org/10.1002/(SICI)1099-1476(19990110)22:1<1::AID-MMA17>3.0.CO;2-M
State	Published - 10 Jan 1999

ASJC Scopus subject areas

General Mathematics
General Engineering

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10.1002/(SICI)1099-1476(19990110)22:1<1::AID-MMA17>3.0.CO;2-M

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abstract = "The linearized initial-boundary value problem describing small motions of the viscous, barotropic compressible fluid in a bounded vessel is studied under various boundary conditions (Dirichlet, Neumann and intermediate). It is shown that the corresponding operator generates an analytic semigroup in the space L2.",

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Analyticity of the semigroup generated by the operator of a viscous compressible fluid

Abstract

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