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Nonstationary flows of viscous and ideal fluids in \(R^3\). (English) Zbl 0229.76018


MSC:

76D05 Navier-Stokes equations for incompressible viscous fluids
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References:

[1] Swann, H., The convergence with vanishing viscosity of nonstationary Navier-Stokes flow to ideal flow in \(R_3\), Trans. Amer. Math. Soc., 157, 373-397 (1971) · Zbl 0218.76023
[2] Kato, T.; Fujita, H., On the nonstationary Navier-Stokes system, (Rend. Sem. Mat. Univ. Padova, 32 (1962)), 243-260 · Zbl 0114.05002
[3] Fujita, H.; Kato, T., On the Navier-Stokes initial value problem, I, Arch. Rational Mech. Anal., 16, 269-315 (1964) · Zbl 0126.42301
[4] Kato, T., Nonlinear evolution equations in Banach spaces, (Proceedings of the Symposium on Applied Mathematics, Vol. 17 (1965), American Mathematical Society), 50-67
[5] Ebin, D. G.; Marsden, J., Groups of diffeomorphisms and the motion of an incompressible fluid, Ann. of Math., 92, 102-163 (1970) · Zbl 0211.57401
[6] Golovkin, K. K., Vanishing viscosity in the Cauchy problem for equations of hydrodynamics (Russian), (Trudy Mat. Inst. Steklov., 92 (1966)), 31-49
[7] McGrath, F. J., Nonstationary plane flow of viscous and ideal fluids, Arch. Rational Mech. Anal., 27, 329-348 (1968) · Zbl 0187.49508
[8] Ladyzhenskaya, O. A., The Mathematical Theory of Viscous Incompressible Flow (1969), Gordon and Breach: Gordon and Breach New York · Zbl 0184.52603
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