Geodesic
On global motion of a compressible barotropic viscous fluid with boundary slip condition
Applicationes Mathematicae, Tome 26 (1999) no. 2, pp. 159-194.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

Global-in-time existence of solutions for equations of viscous compressible barotropic fluid in a bounded domain Ω ⊂ $ℝ^3$ with the boundary slip condition is proved. The solution is close to an equilibrium solution. The proof is based on the energy method. Moreover, in the $L_2$-approach the result is sharp (the regularity of the solution cannot be decreased) because the velocity belongs to $H^{2+α,1+α/2}(Ω × ℝ_+)$ and the density belongs to $H^{1+α,1/2+α/2}(Ω× ℝ_+)$, α ∈ (1/2,1).
DOI : 10.4064/am-26-2-159-194
Keywords: Hilbert-Besov spaces, compressible barotropic viscous fluid, boundary slip condition, global existence

Takayuki Kobayashi 1 ; Wojciech Zajączkowski 1

1 
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Takayuki Kobayashi; Wojciech Zajączkowski. On global motion of a compressible barotropic viscous fluid with boundary slip condition. Applicationes Mathematicae, Tome 26 (1999) no. 2, pp. 159-194. doi : 10.4064/am-26-2-159-194. http://geodesic.mathdoc.fr/articles/10.4064/am-26-2-159-194/

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