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Equadiff 6 pp 409–414Cite as

The global existence of weak solutions of the mollified system of equations of motion of viscous compressible fluid

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Part of the Lecture Notes in Mathematics book series (LNM,volume 1192)

Keywords

  • Weak Solution
  • Global Existence
  • Compressible Fluid
  • Incompressible Liquid
  • Time Existence

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References

  1. ITAYA, N., On the Cauchy problem for the system of fundamental equations describing the movement of compressible viscous fluids, Kodai Math. Sem. Rep. 23, 1971, 60–120.

    CrossRef  MathSciNet  MATH  Google Scholar 

  2. KAZHIKOV, A.V., SHELUKIN, V.V., Unique global solution in time of initial-boundary value problems for one-dimensional equations of a viscous gas, Prikl. Math. Mech. 41, 1977, 282–291.

    Google Scholar 

  3. LIONS,J.L., Quelques méthodes de résolution des problémes aux limites non linéaines, Dunod. Paris. 1969.

    Google Scholar 

  4. MATSUMURA, A., NISHIDA, T., Initial-boundary value problems for the equations of motion of compressible viscous and heat-conductive fluids, Comm on Math. Phvsics 89, 1983, 445–464.

    CrossRef  MathSciNet  MATH  Google Scholar 

  5. NASH, J., Le probléme de Cauchu pour les équations diff. d'un fluide géneral, Bull. Soc. Math. France 90, 1962, 487–497.

    MathSciNet  Google Scholar 

  6. NEUSTUPA,J., The global weak solvability of an initial-boundary value problem of the Navier-Stokes type for the compressible fluid, to appear.

    Google Scholar 

  7. RAUTMANN, R., The uniqueness and regularity of the solutions of Navier-Stokes problems, Funct. Theor. Meth. for PDR, Proc. conf. Darmstadt 1976, Lecture N. in Math., 561, 1976, 378–393.

    CrossRef  MathSciNet  MATH  Google Scholar 

  8. SOLONNIKOV, V.A., Solvability of the initial boundary value problem for the equations of motion of a viscous compressible fluid, J. Soviet Math. 14, 1980, 1120–1133.

    CrossRef  MATH  Google Scholar 

  9. TANI, A., On the finst initial-boundary value problem of compressible viscous fluid motion, Publ. RIMS Kyoto Univ. 13, 1977, 193–253.

    CrossRef  MATH  Google Scholar 

  10. TEMAM, R., Navien-Stokes equations, North-Holland Publ. Comp., Amsterdam-New York-Oxford, 1979.

    Google Scholar 

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© 1986 Equadiff 6 and Springer-Verlag

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Neustupa, J. (1986). The global existence of weak solutions of the mollified system of equations of motion of viscous compressible fluid. In: Vosmanský, J., Zlámal, M. (eds) Equadiff 6. Lecture Notes in Mathematics, vol 1192. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0076101

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  • DOI: https://doi.org/10.1007/BFb0076101

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-16469-2

  • Online ISBN: 978-3-540-39807-3

  • eBook Packages: Springer Book Archive