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

• Autorzy: Takayuki Kobayashi , Wojciech M. Zajączkowski
• Języki publikacji: EN

Abstrakty

EN

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).

Słowa kluczowe

EN

Hilbert-Besov spaces; compressible barotropic viscous fluid; boundary slip condition; global existence

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Applicationes Mathematicae
• Rocznik: 1999
• Tom: 26
• Numer: 2
• Strony: 159-194

Daty

wydano

1999

otrzymano

1998-07-10

poprawiono

1998-11-12

Twórcy

autor

Takayuki Kobayashi

• Kyushu Institute of Technology, Faculty of Engineering, Interdisciplinary Department, Mathematics, Physics and Information Science, 1-1 Sensui-cho, Tobata-ku, Kitakyushu 804-8550, Japan

autor

Wojciech M. Zajączkowski

• Institute of Mathematics, Polish Academy of Sciences, Śniadeckich 8, 00-950 Warszawa, Poland

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