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Decay and stability in L p for strong solutions of the Cauchyproblem for the Navier-Stokes equations

Flows In Unbounded Domains

Part of the Lecture Notes in Mathematics book series (LNM,volume 1431)

Keywords

  • Weak Solution
  • Global Existence
  • Strong Solution
  • Elementary Calculation
  • Smallness Condition

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References

  1. H. Beirão da Veiga: Existence and asymptotic behaviour for strong solutions of the Navier-Stokes equations on the whole space. Indiana Univ. Math. J., 36(1987), 149–166.

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  2. H. Beirão da Veiga-P. Secchi: L p-stability for the strong solutions of the Navier-Stokes equations in the whole space. Arch. Rat. Mech. Anal. 98(1987), 65–70

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  3. R. Kajikiya-T. Miyakawa: On L 2-decay of weak solutions of the Navier-Stokes equations in IRn. Math. Z. 192(1986), 135–148

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  4. T. Kato: Strong L p-solutions of the Navier-Stokes equations in IRn, with applications to weak solutions. Math. Z. 187(1984), 471–480

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  5. M. E. Schonbek: L 2-decay for weak solutions of the Navier-Stokes equations. Arch. Rat. Mech. Anal. 88(1985), 209–222

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  6. M. Wiegner: Decay results for weak solutions of the Navier-Stokes equations on IRn. J. London Math. Soc.(2)35(1987), 303–313.

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© 1990 Springer-Verlag

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Wiegner, M. (1990). Decay and stability in L p for strong solutions of the Cauchyproblem for the Navier-Stokes equations. In: Heywood, J.G., Masuda, K., Rautmann, R., Solonnikov, V.A. (eds) The Navier-Stokes Equations Theory and Numerical Methods. Lecture Notes in Mathematics, vol 1431. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0086059

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  • DOI: https://doi.org/10.1007/BFb0086059

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-52770-1

  • Online ISBN: 978-3-540-47141-7

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