TY - JOUR
T1 - Decay properties of solutions to the linearized compressible navierstokes equation around time-periodic parallel flow
AU - Březina, Jan
AU - Kagei, Yoshiyuki
PY - 2012/7
Y1 - 2012/7
N2 - Decay estimates on solutions to the linearized compressible NavierStokes equation around time-periodic parallel flow are established. It is shown that if the Reynolds and Mach numbers are sufficiently small, solutions of the linearized problem decay in L 2 norm as an (n - 1)-dimensional heat kernel. Furthermore, it is proved that the asymptotic leading part of solutions is given by solutions of an (n - 1)-dimensional linear heat equation with a convective term multiplied by time-periodic function.
AB - Decay estimates on solutions to the linearized compressible NavierStokes equation around time-periodic parallel flow are established. It is shown that if the Reynolds and Mach numbers are sufficiently small, solutions of the linearized problem decay in L 2 norm as an (n - 1)-dimensional heat kernel. Furthermore, it is proved that the asymptotic leading part of solutions is given by solutions of an (n - 1)-dimensional linear heat equation with a convective term multiplied by time-periodic function.
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U2 - 10.1142/S0218202512500078
DO - 10.1142/S0218202512500078
M3 - Article
AN - SCOPUS:84860362555
SN - 0218-2025
VL - 22
JO - Mathematical Models and Methods in Applied Sciences
JF - Mathematical Models and Methods in Applied Sciences
IS - 7
M1 - 1250007
ER -