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The global in time existence of strong solutions to the compressible Navier-Stokes equation around time-periodic parallel flows in R^n, n ≥ 2, is established under smallness conditions on Reynolds num...ber, Mach number and initial perturbations. Furthermore, it is proved for n = 2 that the asymptotic leading part of solutions is given by a solution of one-dimensional viscous Burgers equation multiplied by time- periodic function. In the case n ≥ 3 the asymptotic leading part of solutions is given by a solution of n - 1-dimensional heat equation with convective term multiplied by time-periodic function.続きを見る
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Mendeley出力
