$L_2$ and $L_∞$ Estimates of the Solutions for the Compressible Navier–Stokes Equations in a 3D Exterior Domain

Takayuki Kobayashi

doi:10.2977/prims/1145476422

JournalsprimsVol. 38, No. 1pp. 211–225

$L_{2}$ and $L_{\infty}$ Estimates of the Solutions for the Compressible Navier–Stokes Equations in a 3D Exterior Domain

Takayuki Kobayashi
Kyushu Institute of Technology, Fukuoka, Japan

$L_2$ and $L_∞$ Estimates of the Solutions for the Compressible Navier–Stokes Equations in a 3D Exterior Domain cover

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Abstract

We consider the boundary value problem of the equation of motion of viscous compressible ﬂuid in a 3D exterior domain. We shall give the $L_{\infty}$ estimates of the solutions and $L_{2}$ estimates of the derivative with respect to space variable of the solutions.

Cite this article

Takayuki Kobayashi, $L_{2}$ and $L_{\infty}$ Estimates of the Solutions for the Compressible Navier–Stokes Equations in a 3D Exterior Domain. Publ. Res. Inst. Math. Sci. 38 (2002), no. 1, pp. 211–225

DOI 10.2977/PRIMS/1145476422