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Certain spaces of solenoidal vectors and the solvability of the boundary problem for the Navier-Stokes system of equations in domains with noncompact boundaries. (English) Zbl 0612.35111

Translation from Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 73, 136-151 (Russian) (1977; Zbl 0406.35054).

MSC:

35Q30 Navier-Stokes equations

Citations:

Zbl 0406.35054
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References:

[1] J. G. Heywood, ”On uniqueness questions in the theory of viscous flow,” Acta Math.,136, 61–102 (1976). · Zbl 0347.76016 · doi:10.1007/BF02392043
[2] O. A. Ladyzhenskaya and V. A. Solonnikov, ”Problems of vector analysis and generalized formulations of boundary problems for Navier-Stokes equations,” J. Sov. Math.,10, No. 2 (1978). · Zbl 0388.35061
[3] O. A. Ladyzhenskaya and V. A. Solonnikov, ”Solvability of boundary and initial-boundary problems for Navier-Stokes equations in domains with noncompact boundaries,” Vestn. Leningr. Univ. (1977). · Zbl 0377.35060
[4] L. D. Landau and E. M. Lifshits, Electrodynamics of Continuous Media, Pergamon (1960).
[5] E. Stein, Singular Integrals and Differential Properties of Functions [Russian translation], Mir, Moscow (1973).
[6] O. A. Ladyzhenskaya, Mathematical Theory of Viscous Incompressible Flow, Gordan and Breach (1969). · Zbl 0184.52603
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