Global solution to the isothermal compressible bipolar fluid in a finite channel with nonzero input and output

Šárka Matušů-Nečasová

Applications of Mathematics (1991)

  • Volume: 36, Issue: 1, page 46-71
  • ISSN: 0862-7940

Abstract

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The paper contains the proof of global existence of weak solutions viscous compressible isothermal bipolar fluid of initial boundary value in a finite channel.

How to cite

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Matušů-Nečasová, Šárka. "Global solution to the isothermal compressible bipolar fluid in a finite channel with nonzero input and output." Applications of Mathematics 36.1 (1991): 46-71. <http://eudml.org/doc/15659>.

@article{Matušů1991,
abstract = {The paper contains the proof of global existence of weak solutions viscous compressible isothermal bipolar fluid of initial boundary value in a finite channel.},
author = {Matušů-Nečasová, Šárka},
journal = {Applications of Mathematics},
keywords = {viscous compressible bipolar fluid; initial boundary value problem; global existence of weak solutions; finite channel; global existence; weak solutions; viscous compressible isothermal bipolar fluid; finite channel},
language = {eng},
number = {1},
pages = {46-71},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Global solution to the isothermal compressible bipolar fluid in a finite channel with nonzero input and output},
url = {http://eudml.org/doc/15659},
volume = {36},
year = {1991},
}

TY - JOUR
AU - Matušů-Nečasová, Šárka
TI - Global solution to the isothermal compressible bipolar fluid in a finite channel with nonzero input and output
JO - Applications of Mathematics
PY - 1991
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 36
IS - 1
SP - 46
EP - 71
AB - The paper contains the proof of global existence of weak solutions viscous compressible isothermal bipolar fluid of initial boundary value in a finite channel.
LA - eng
KW - viscous compressible bipolar fluid; initial boundary value problem; global existence of weak solutions; finite channel; global existence; weak solutions; viscous compressible isothermal bipolar fluid; finite channel
UR - http://eudml.org/doc/15659
ER -

References

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  1. M. Feistauer J. Nečas V. Šverák, On the weak compactness of the equation of the compressible flow, Preprint MFF UK Prague (1988). (1988) Zbl0715.35064
  2. A. Kufner O. John S. Fučík, Functional spaces, Academia, Prague (1977). (1977) Zbl0364.46022
  3. J. Nečas M. Šilhavý, Viscous multipolar fluids, (To appear) Zbl0732.76003
  4. J. Nečas I. Hlaváček, Mathematical Theory of Elastic and Elastico-Plastic Bodies, (1982). (1982) Zbl0448.73009
  5. J. Nečas, Introduction to the theory of nonlinear elliptic equations, John Wiley (1986). (1986) Zbl0643.35001MR0874752
  6. J. L. Lions, Quelques methodes de resolution des problems aux limites non lineaires, Dunod, Paris (1969). (1969) Zbl0189.40603MR0259693
  7. J. Nečas A. Novotný M. Šilhavý, Global solution to the compressible isothermal multipolar fluid, (To apear) Zbl0757.35060
  8. J. L. Lions E. Magenes, Problemes aux limites non homogenes et application, Dunod, Paris (1968). (1968) Zbl0165.10801
  9. M. Padula, Existence of global solutions for 2-dimensional viscous compressible flow, J. Funct. Anal. 69 (1986). (1986) Zbl0633.76072MR0864756
  10. H. Gajevski K. Gröger K. Zacharias, Nichtlineare Operatorgleichungen und Operatordifferentialgleichungen, Academia-Verlag, Berlin (1974). (1974) Zbl0289.47029MR0636412
  11. J. Kurzweil: English translation, Ordinary Differential Equations, Elsevier, Amsterdam- Oxford-New York-Tokyo (1986). (1986) 
  12. J. Nečas, Les methodes directes en theorie des equations elliptiques, Academia, Prague (1967). (1967) MR0227584
  13. K. Rektorys a kol.: English translation, Survey of Applicable Mathematics, SNTL, Praha (1968). (1968) MR0241025

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