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Asymptotic behavior of weak solutions of the convection equation

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Part of the Lecture Notes in Mathematics book series (LNM,volume 1540)

Keywords

  • Periodic Solution
  • Weak Solution
  • Heat Convection
  • Stationary Problem
  • Natural Convection

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References

  1. Hishida, T., Existence and regularizing properties of solutions for the nonstationary convection problem, Funkcialaj Ekvacioj, 34 (1991), pp.449–474.

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  2. Morimoto, H., On the existence of weak solutions of equations of natural convection, J. Fac. Sci. Univ. Tokyo, Sec.IA, 36 (1989), pp.87–102.

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  3. Morimoto, H., On the existence and uniqueness of the stationary solution to the equation of natural convection, Tokyo J. Math., Vol.14(1991), pp.217–226.

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  4. Morimoto, H., On non-stationary Boussinesq equations, Proc. Japan Acad., 67 Ser A (1991), pp.159–161, Nonstationary Boussinesq equations, J. Fac. Sci. Univ. Tokyo, Sect.IA, 39 (1992), pp.61–75.

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  5. Ōeda, K., Weak and strong solutions of the heat convection equations in regions with moving boudaries, J. Fac. Sci. Univ. Tokyo, Sec. IA, 36, No.3 (1989), pp.491–536.

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  6. Temam, R., Navier-Stokes Equations, North-Holland, Amsterdam, 1979.

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© 1993 Springer-Verlag

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Hiroko, M. (1993). Asymptotic behavior of weak solutions of the convection equation. In: Komatsu, H. (eds) Functional Analysis and Related Topics, 1991. Lecture Notes in Mathematics, vol 1540. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0085485

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  • DOI: https://doi.org/10.1007/BFb0085485

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-56471-3

  • Online ISBN: 978-3-540-47565-1

  • eBook Packages: Springer Book Archive