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On qualitative singularities of the flow of a viscoplastic medium in pipes. (English. Russian original) Zbl 0236.76006

J. Appl. Math. Mech. 31, 609-613 (1967); translation from Prikl. Mat. Mekh. 31, 581-585 (1967).

MSC:

76A99 Foundations, constitutive equations, rheology, hydrodynamical models of non-fluid phenomena
74C99 Plastic materials, materials of stress-rate and internal-variable type
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References:

[1] Mosolov, P. P.; Miasnikov, V. P., Variational methods in the theory of the fluidity of a viscoplastic medium, PMM, Vol. 29, No. 3 (1965) · Zbl 0168.45505
[2] Mosolov, P. P.; Miasnikov, V. P., On stagnant flow regions of a viscoplastic medium in pipes, PMM, Vol. 30, No. 4 (1966) · Zbl 0168.45601
[3] Sard, A., The measure of the critical values of differentiable maps, Bull. Amer. Math. Soc., Vol. 48, No. 12 (1942) · Zbl 0063.06720
[4] Sobolov, S. L., Some Applications of Functional Analysis in Mathematical Physics (1950), Izd. Leningr. Univ.
[5] Burago, Iu. D.; Zalgaller, V. A., Isoperimetric problem for the limitation of the domain width on a surface, Trudy mat. Inst. Akad. Nauk SSSR, Vol. 76 (1965)
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