Hiroshima Mathematical Journal

Nonstationary flows of nonsymmetric fluids with thermal convection

Yoshiyuki Kagei and Maria Skowron

Full-text: Open access

Article information

Hiroshima Math. J., Volume 23, Number 2 (1993), 343-363.

First available in Project Euclid: 21 March 2008

Permanent link to this document

Digital Object Identifier

Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 35Q30: Navier-Stokes equations [See also 76D05, 76D07, 76N10]
Secondary: 76D05: Navier-Stokes equations [See also 35Q30] 76R99: None of the above, but in this section


Kagei, Yoshiyuki; Skowron, Maria. Nonstationary flows of nonsymmetric fluids with thermal convection. Hiroshima Math. J. 23 (1993), no. 2, 343--363. doi:10.32917/hmj/1206128257. https://projecteuclid.org/euclid.hmj/1206128257

Export citation


  • [1] R. A. Adams, Sobolev Spaces, Academic Press, New York (1975).
  • [2] S. R. de Groot and P. Mazur, Non-Equilibrium Thermodynamics, North-Holland, Amsterdam (1962).
  • [3] J. Frenkel, Kinetic Theory of Liquids, Oxford Univ. Press, Oxford (1946).
  • [4] A. Friedman, Partial Differential Equations, Holt, Reinhart and Winston, New York (1969).
  • [5] V. Girault and P. A. Raviart, Finite Element Approximation of the Navier-Stokes Equations, Springer-Verlag, Berlin (1979).
  • [6] O. A. Ladyzhenskaya, Mathematical Problems of Hydrodynamics and Magnetohydrodynamics of a viscous invompressible fluid Izd. Nauka Moscow (1960) (in Russian).
  • [7] O. A. Ladyzhenskaya, V. A. Solonnikov and N. N. Uraceva, Linear and Quasilinear Equations of Parabolic Type, Transl. of Math. Monographs, Vol. 23, Amer. Math. Soc., Providence (1968).
  • [8] J. L. Lions, Quelques Methodes de Resolution des Problemes aux Limites non Lineares, Dunod, Paris (1969).
  • [9] J. L. Lions and E. Magenes, Non-Homogeneous Boundary Value Problems and Applications, Springer-Verlag, Berlin (1972).
  • [10] G. Lukaszewicz, On the existence, uniqueness and asymptotic properties for solutions of flows of asymmetric fluids, Memorie di Matematica 107° vol XVII, fasc. 6, Rendiconti Accademia Nazionale delle Scienze detta dei XL (1989), 105-120.
  • [11] G. Lukaszewicz, On non-stationary flows of incompressible asymmetric fluids, Math. Meth. in the Appl. Sci., 13 (1990), 219-232.
  • [12] G. Lukaszewicz and W. Walus, On stationary flows of asymmetric fluids with heat convection, Math. Meth. in the Appl. Sci., 11 (1989), 343-351.
  • [13] L. G. Petrosyan, Some Problems of Mechanics of Fluids with Antisymmetric Stress Tensor, Izd. Erevan Univ. (1984) (in Russian).
  • [14] R. Temam, Navier-Stokes Equations. Theory and Numerical Analysis, North Holland, Amsterdam (1979).
  • [15] R. Temam, Infinite Dimensional Dynamical Systems in Mechanics and Physics, Springer-Verlag, Berlin (1988).