On global motion of a compressible barotropic viscous fluid with boundary slip condition
Kobayashi, Takayuki ; Zajączkowski, Wojciech
Applicationes Mathematicae, Tome 26 (1999), p. 159-194 / Harvested from The Polish Digital Mathematics Library
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Global-in-time existence of solutions for equations of viscous compressible barotropic fluid in a bounded domain Ω ⊂ ℝ3 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 L2-approach the result is sharp (the regularity of the solution cannot be decreased) because the velocity belongs to H2+α,1+α/2(Ω×ℝ+) and the density belongs to H1+α,1/2+α/2(Ω×ℝ+), α ∈ (1/2,1).

Publié le : 1999-01-01
EUDML-ID : urn:eudml:doc:219232 
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Kobayashi, Takayuki; Zajączkowski, Wojciech. On global motion of a compressible barotropic viscous fluid with boundary slip condition. Applicationes Mathematicae, Tome 26 (1999) pp. 159-194. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-zmv26i2p159bwm/

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