Spectral Properties of the Linearized Semigroup of the Compressible Navier–Stokes Equation on a Periodic Layer | Zendy

Yoshiyuki Kagei | Zendy; Naoki Makio | Zendy

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Spectral Properties of the Linearized Semigroup of the Compressible Navier–Stokes Equation on a Periodic Layer

Author(s) -

Yoshiyuki Kagei,

Naoki Makio

Publication year - 2015

Publication title -

publications of the research institute for mathematical sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.786

H-Index - 39

eISSN - 1663-4926

pISSN - 0034-5318

DOI - 10.4171/prims/158

Subject(s) - mathematics , semigroup , compressibility , mathematical analysis , layer (electronics) , spectral properties , mechanics , physics , materials science , astrophysics , composite material

The linearized problem for the compressible Navier–Stokes equation around a given constant state is considered in a periodic layer of R with n ≥ 2, and spectral properties of the linearized semigroup are investigated. It is shown that the linearized operator generates a C0-semigroup in L 2 over the periodic layer and the time-asymptotic leading part of the semigroup is given by a C0-semigroup generated by an n − 1-dimensional elliptic operator with constant coefficients that are determined by solutions of a Stokes system over the basic period domain. 2010 Mathematics Subject Classification: 35Q30, 35Q35, 76N15.

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