Keywords
- Reynolds Number
- Global Existence
- Sobolev Inequality
- Nonlinear Operator
- Summation Convention
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References
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.
T. Kato and H. Fujita, On the nonstationary Navier Stokes system, Rend. Sem. Mat. Univ. Padova 32 (1962), 243–260.
T. Kato, Strong L p solutions of the Navier-Stokes equation in Rm, with applications to weak solutions, Math. Z. 187 (1984), 471–480.
T. Kato and G. Ponce, Commutator estimates and the Euler and Navier-Stokes equations, Comm. Pure Appl. Math. 41 (1988), 891–907.
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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