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Yoshiyuki Kagei  One of the best experts on this subject based on the ideXlab platform.

decay properties of solutions to the linearized compressible navier stokes equation around time Periodic parallel flow
Mathematical Models and Methods in Applied Sciences, 2012CoAuthors: Jan Březina, Yoshiyuki KageiAbstract:Decay estimates on solutions to the linearized compressible Navier–Stokes equation around timePeriodic parallel flow are established. It is shown that if the Reynolds and Mach numbers are sufficiently small, solutions of the linearized problem decay in L2 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 timePeriodic Function.
Jan Březina  One of the best experts on this subject based on the ideXlab platform.

decay properties of solutions to the linearized compressible navier stokes equation around time Periodic parallel flow
Mathematical Models and Methods in Applied Sciences, 2012CoAuthors: Jan Březina, Yoshiyuki KageiAbstract:Decay estimates on solutions to the linearized compressible Navier–Stokes equation around timePeriodic parallel flow are established. It is shown that if the Reynolds and Mach numbers are sufficiently small, solutions of the linearized problem decay in L2 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 timePeriodic Function.
Takahito Kashiwabara  One of the best experts on this subject based on the ideXlab platform.

strong time Periodic solutions to the 3d primitive equations subject to arbitrary large forces
Nonlinearity, 2017CoAuthors: Giovanni P Galdi, Matthias Hieber, Takahito KashiwabaraAbstract:We show that the threedimensional primitive equations admit a strong timePeriodic solution of period , provided the forcing term is a timePeriodic Function of the same period. No restriction on the magnitude of f is assumed. As a corollary, if, in particular, f is timeindependent, the corresponding solution is steadystate.

strong time Periodic solutions to the 3d primitive equations subject to arbitrary large forces
arXiv: Analysis of PDEs, 2015CoAuthors: Giovanni P Galdi, Matthias Hieber, Takahito KashiwabaraAbstract:We show that the threedimensional primitive equations admit a strong timePeriodic solution of period $T>0$, provided the forcing term $f\in L^2(0,\mathcal T; L^2(\Omega))$ is a timePeriodic Function of the same period. No restriction on the magnitude of $f$ is assumed. As a corollary, if, in particular, $f$ is timeindependent, the corresponding solution is steadystate.
Matthias Hieber  One of the best experts on this subject based on the ideXlab platform.

strong time Periodic solutions to the 3d primitive equations subject to arbitrary large forces
Nonlinearity, 2017CoAuthors: Giovanni P Galdi, Matthias Hieber, Takahito KashiwabaraAbstract:We show that the threedimensional primitive equations admit a strong timePeriodic solution of period , provided the forcing term is a timePeriodic Function of the same period. No restriction on the magnitude of f is assumed. As a corollary, if, in particular, f is timeindependent, the corresponding solution is steadystate.

strong time Periodic solutions to the 3d primitive equations subject to arbitrary large forces
arXiv: Analysis of PDEs, 2015CoAuthors: Giovanni P Galdi, Matthias Hieber, Takahito KashiwabaraAbstract:We show that the threedimensional primitive equations admit a strong timePeriodic solution of period $T>0$, provided the forcing term $f\in L^2(0,\mathcal T; L^2(\Omega))$ is a timePeriodic Function of the same period. No restriction on the magnitude of $f$ is assumed. As a corollary, if, in particular, $f$ is timeindependent, the corresponding solution is steadystate.
Swagata Nandi  One of the best experts on this subject based on the ideXlab platform.

a note on estimating the fundamental frequency of a Periodic Function
Signal Processing, 2004CoAuthors: Debasis Kundu, Swagata NandiAbstract:In this note we consider the estimation of the fundamental frequency of a Periodic Function. It is observed that the simple leastsquares estimators can be used quite effectively to estimate the unknown parameters. The asymptotic distribution of the leastsquares estimators is provided. Some simulation results are presented and finally we analyze two real life data sets using different methods.

estimating the fundamental frequency of a Periodic Function
Statistical Methods and Applications, 2004CoAuthors: Swagata Nandi, Debasis KunduAbstract:In this paper we consider the problem of estimation of the fundamental frequency of a Periodic Function, which has several applications in Speech Signal Processing. The problem was originally proposed by Hannan (1974) and later on Quinn and Thomson (1991) provided an estimation procedure of the unknown parameters. It is observed that the estimation procedure of Quinn and Thomson (1991) is quite involved numerically. In this paper we propose to use two simple estimators and it is observed that their performance are quite satisfactory. Asymptotic properties of the proposed estimators are obtained. The large sample properties of the estimators are compared theoretically. We present some simulation results to compare their small sample performance. One speech data is analyzed using this particular model.