TY - JOUR
T1 - Asymptotic Behavior of the Linearized Semigroup at Space-Periodic Stationary Solution of the Compressible Navier–Stokes Equation
AU - Enomoto, Shota
AU - Kagei, Yoshiyuki
N1 - Funding Information:
Acknowledgements. Y. Kagei was partly supported by JSPS KAKENHI Grant 16H03947, 16H06339, 15K13449, 24224003.
PY - 2017/12/1
Y1 - 2017/12/1
N2 - The asymptotic behavior of the linearized semigroup at spatially periodic stationary solution of the compressible Navier–Stokes equation in a periodic layer of Rn(n= 2 , 3) is investigated. It is shown that if the Reynolds and Mach numbers are sufficiently small, then the linearized semigroup is decomposed into two parts; one behaves like a solution of an n- 1 dimensional linear heat equation as time goes to infinity and the other one decays exponentially.
AB - The asymptotic behavior of the linearized semigroup at spatially periodic stationary solution of the compressible Navier–Stokes equation in a periodic layer of Rn(n= 2 , 3) is investigated. It is shown that if the Reynolds and Mach numbers are sufficiently small, then the linearized semigroup is decomposed into two parts; one behaves like a solution of an n- 1 dimensional linear heat equation as time goes to infinity and the other one decays exponentially.
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U2 - 10.1007/s00021-016-0304-3
DO - 10.1007/s00021-016-0304-3
M3 - Article
AN - SCOPUS:85032189711
VL - 19
SP - 739
EP - 772
JO - Journal of Mathematical Fluid Mechanics
JF - Journal of Mathematical Fluid Mechanics
SN - 1422-6928
IS - 4
ER -