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Ton, Bui An

Nonstationary Navier-Stokes flows with vanishing viscosity. (English) Zbl 0446.76038

Rend. Circ. Mat. Palermo, II. Ser. 27, 113-129 (1978).
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Cited in 1 Document

MSC:

76D05 Navier-Stokes equations for incompressible viscous fluids
35B40 Asymptotic behavior of solutions to PDEs

Keywords:

nonstationary, Cauchy problem; Euler equations

Citations:

Zbl 0229.76018
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\textit{B. A. Ton}, Rend. Circ. Mat. Palermo (2) 27, 113--129 (1978; Zbl 0446.76038)
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References:

[1] Aubin J. P.,Un théoreme de compacité, C. R. Acad. Sc. Paris,256 (1963), 5042–5044.
[2] Ebin D. G. and Marsden J. E.,Groups of diffeomorphisms and the motion of an incompressible fluid, Ann. of Math., (2)97 (1970), 102–163. · Zbl 0211.57401
[3] Golovkin K. K.,New equations modeling the motion of a viscous fluid and their unique solvability, Trudy Mat. Inst. Steklov,102 (1967), 29–50; Proc. Steklov Inst. Math.,102 (1967), 29–54.
[4] Kato T.,Non stationary flows of viscous and ideal flows in R 3, J. Functional Analysis, (1972), 296–305. · Zbl 0229.76018
[5] Ladyzenskaya O. A.,New equations for the description of motion of viscous incompressible fluids and solvability in the large of boundary-value problems for them, Trudy Mat. Inst. Steklov102 (1967), 85–104; Proc. Steklov Inst. Math.102 (1967) 95–118.
[6] –,The Mathematical theory of viscous incompressible fluids, Gordon and Breach, New York, 1969.
[7] Lions J. L.,Quelques méthodes de résolution des problèmes aux limites non linéaires, Dunod, Paris, 1969.
[8] Swann H. S. G.,The convergence with vanishing viscosity of non stationary Navier-Stokes flow to ideal flow in R 3. Trans. Amer. Math. Soc.157 (1971), 373–397. · Zbl 0218.76023
[9] Visik M. I.,Quasi-linear strongly elliotic systems of differential equations in divergence form, Trudy Moskov Math. Obsc.12, (1963), 125 184; Trans. Moscov Math. Soc (1963), 140–208.
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.