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.
Publisher Copyright:
© 2016, Springer International Publishing.

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

SN - 1422-6928

VL - 19

SP - 739

EP - 772

JO - Journal of Mathematical Fluid Mechanics

JF - Journal of Mathematical Fluid Mechanics

IS - 4

ER -