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On global motion of a compressible barotropic viscous fluid with boundary slip condition

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Kobayashi T., Zajączkowski W. M.

Applicationes Mathematicae

1999

tom 26

nr 2

159-194

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).

Ograniczanie wyników

1 Applicationes Mathematicae

1 Kobayashi T.

1 Zajączkowski W. M.

1 1999

Wyniki wyszukiwania

On global motion of a compressible barotropic viscous fluid with boundary slip condition