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Title: Global solution to the isothermal compressible bipolar fluid in a finite channel with nonzero input and output (English)
Author: Matušů-Nečasová, Šárka
Language: English
Journal: Applications of Mathematics
ISSN: 0862-7940 (print)
ISSN: 1572-9109 (online)
Volume: 36
Issue: 1
Year: 1991
Pages: 46-71
Summary lang: English
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Category: math
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Summary: The paper contains the proof of global existence of weak solutions viscous compressible isothermal bipolar fluid of initial boundary value in a finite channel. (English)
Keyword: viscous compressible bipolar fluid
Keyword: initial boundary value problem
Keyword: global existence of weak solutions
Keyword: finite channel
MSC: 35Q20
MSC: 35Q35
MSC: 76N10
idZBL: Zbl 0731.76059
idMR: MR1093482
DOI: 10.21136/AM.1991.104443
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Date available: 2008-05-20T18:40:56Z
Last updated: 2020-07-28
Stable URL: http://hdl.handle.net/10338.dmlcz/104443
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Reference: [1] M. Feistauer J. Nečas V. Šverák: On the weak compactness of the equation of the compressible flow.Preprint MFF UK Prague (1988).
Reference: [2] A. Kufner O. John S. Fučík: Functional spaces.Academia, Prague (1977).
Reference: [3] J. Nečas M. Šilhavý: Viscous multipolar fluids.(To appear)
Reference: [4] J. Nečas I. Hlaváček: Mathematical Theory of Elastic and Elastico-Plastic Bodies.(1982).
Reference: [5] J. Nečas: Introduction to the theory of nonlinear elliptic equations.John Wiley (1986). MR 0874752
Reference: [6] J. L. Lions: Quelques methodes de resolution des problems aux limites non lineaires.Dunod, Paris (1969). MR 0259693
Reference: [7] J. Nečas A. Novotný M. Šilhavý: Global solution to the compressible isothermal multipolar fluid.(To apear)
Reference: [8] J. L. Lions E. Magenes: Problemes aux limites non homogenes et application.Dunod, Paris (1968).
Reference: [9] M. Padula: Existence of global solutions for 2-dimensional viscous compressible flow.J. Funct. Anal. 69 (1986). MR 0864756, 10.1016/0022-1236(86)90108-4
Reference: [10] H. Gajevski K. Gröger K. Zacharias: Nichtlineare Operatorgleichungen und Operatordifferentialgleichungen.Academia-Verlag, Berlin (1974). MR 0636412
Reference: [11] J. Kurzweil: English translation: Ordinary Differential Equations.Elsevier, Amsterdam- Oxford-New York-Tokyo (1986).
Reference: [12] J. Nečas: Les methodes directes en theorie des equations elliptiques.Academia, Prague (1967). MR 0227584
Reference: [13] K. Rektorys a kol.: English translation: Survey of Applicable Mathematics.SNTL, Praha (1968). MR 0241025
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