TY - JOUR
T1 - Spectral properties of the linearized compressible Navier-Stokes equation around time-periodic parallel flow
AU - Březina, Jan
AU - Kagei, Yoshiyuki
N1 - Funding Information:
The work of Y. Kagei was partly supported by JSPS KAKENHI Grant Numbers 24340028 , 22244009 , 24224003 .
PY - 2013/9/15
Y1 - 2013/9/15
N2 - The linearized problem around a time-periodic parallel flow of the compressible Navier-Stokes equation in an infinite layer is investigated. By using the Floquet theory, spectral properties of the evolution operator associated with the linearized problem are studied in detail. The Floquet representation of a low frequency part of the evolution operator, which plays an important role in the study of the nonlinear problem, is obtained.
AB - The linearized problem around a time-periodic parallel flow of the compressible Navier-Stokes equation in an infinite layer is investigated. By using the Floquet theory, spectral properties of the evolution operator associated with the linearized problem are studied in detail. The Floquet representation of a low frequency part of the evolution operator, which plays an important role in the study of the nonlinear problem, is obtained.
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U2 - 10.1016/j.jde.2013.04.036
DO - 10.1016/j.jde.2013.04.036
M3 - Article
AN - SCOPUS:84891344418
SN - 0022-0396
VL - 255
SP - 1132
EP - 1195
JO - Journal of Differential Equations
JF - Journal of Differential Equations
IS - 6
ER -