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Analyticity of the semigroup generated by the operator of a viscous compressible fluid
Author(s) -
Kozhevnikov Alexander
Publication year - 1999
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/(sici)1099-1476(19990110)22:1<1::aid-mma17>3.0.co;2-m
Subject(s) - mathematics , semigroup , operator (biology) , compressibility , analytic semigroup , mathematical analysis , mathematical physics , algebra over a field , pure mathematics , physics , mechanics , biochemistry , chemistry , repressor , transcription factor , gene
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 L 2 . Copyright © 1999 John Wiley & Sons, Ltd.