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Liapunov functions and monotonicity in the Navier-Stokes equation

Part of the Lecture Notes in Mathematics book series (LNM,volume 1450)

Keywords

  • Reynolds Number
  • Global Existence
  • Sobolev Inequality
  • Nonlinear Operator
  • Summation Convention

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References

  1. R. R. Coifman and Y. Meyer, Nonlinear harmonic analysis, operator theory and P.D.E., in “Beijing Lectures in Harmonic Analysis,” Princeton University Press, 1986, pp.3–45.

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  2. T. Kato and H. Fujita, On the nonstationary Navier Stokes system, Rend. Sem. Mat. Univ. Padova 32 (1962), 243–260.

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  3. T. Kato, Strong L p solutions of the Navier-Stokes equation in Rm, with applications to weak solutions, Math. Z. 187 (1984), 471–480.

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  4. T. Kato and G. Ponce, Commutator estimates and the Euler and Navier-Stokes equations, Comm. Pure Appl. Math. 41 (1988), 891–907.

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  5. J. Leray, Sur le mouvement d'un liquide visqueux emplissant l'espace, Acta Math. 63 (1934), 193–248.

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© 1990 Springer-Verlag

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Kato, T. (1990). Liapunov functions and monotonicity in the Navier-Stokes equation. In: Fujita, H., Ikebe, T., Kuroda, S.T. (eds) Functional-Analytic Methods for Partial Differential Equations. Lecture Notes in Mathematics, vol 1450. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0084898

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  • DOI: https://doi.org/10.1007/BFb0084898

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-53393-1

  • Online ISBN: 978-3-540-46818-9

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