- Tytuł:
- On global motion of a compressible barotropic viscous fluid with boundary slip condition
- Autorzy:
-
Kobayashi, Takayuki
Zajączkowski, Wojciech - Powiązania:
- https://bibliotekanauki.pl/articles/1338843.pdf
- Data publikacji:
- 1999
- Wydawca:
- Polska Akademia Nauk. Instytut Matematyczny PAN
- Tematy:
-
Hilbert-Besov spaces
compressible barotropic viscous fluid
boundary slip condition
global existence - Opis:
- 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).
- Źródło:
-
Applicationes Mathematicae; 1999, 26, 2; 159-194
1233-7234 - Pojawia się w:
- Applicationes Mathematicae
- Dostawca treści:
- Biblioteka Nauki
Artykuł