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Article

Keywords:
initial boundary-value problem; $k$-polar liquids; bounded domain; uniqueness; multipolar gas; compressible fluid; barotropic gas; global existence of weak solutions
Summary:
The paper contains the proof of global existence of weak solutions of the viscous compressible barotropic gas for the initial-boundary value problem in a finite channel.
References:
[1] J. Nečas A. Novotný M. Šilhavý: Global solution to the compressible isothermal multipolar fluid. to appear. MR 1135273
[2] J. Nečas A. Novotný: Some qualitative properties of viscous compressible multipolar heat conductive fluid. to appear.
[3] Š. Matušů-Nečasová: Global solution of compressible isothermal bipolar fluid on the finite channel with nozero input and output. to appear.
[4] J. Nečas: Les methodes directes en la theorie des equations elliptiques. Academia, Praque, 1967.
[5] J. Nečas M. Šilhavý: Viscous multipolar fluids. to appear.
[6] A. Kufner O. John S. Fučík: Functional spaces. Academia, Praque, 1977.
[7] J. L. Lions: Quelques methodes de resolution des problemes aux limites non lineaires. Dunod, Paris, 1969. MR 0259693 | Zbl 0189.40603
[8] M. Padula: Existence of global solution for 2-dimensional viscous compressible flow. J. Funct. Anal. 69 (1986). DOI 10.1016/0022-1236(86)90108-4 | MR 0864756
[9] J. Nečas A. Novotný M. Šilhavý: Global solution to the viscous compressible barotropic multipolar gas. to appear.
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