Absolutely extremal points in minimal flows
S. Glasner (1985)
Compositio Mathematica
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S. Glasner (1985)
Compositio Mathematica
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Isaac Namioka (1983)
Mathematische Zeitschrift
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Penazzi, D. (2001)
Rendiconti del Seminario Matematico
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S. Glasner, D. Maon (1986)
Compositio Mathematica
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Kolumban Hutter (1985)
Banach Center Publications
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V. M. Soundalgekar (1971)
Matematički Vesnik
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H. Kalisch (2012)
Mathematical Modelling of Natural Phenomena
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Two-dimensional inviscid channel flow of an incompressible fluid is considered. It is shown that if the flow is steady and features no horizontal stagnation, then the flow must necessarily be a parallel shear flow.
D. V. Krishna (1966)
Applicationes Mathematicae
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Marshall J. Leitman, Epifanio G. Virga (1988)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti
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We show that the smooth bounded channel flows of a viscoelastic fluid exhibit the following qualitative feature: Whenever the channel is sufficiently wide, any bounded velocity field satisfying the homogeneous equation of motion is such that if the flow stops at some time, then the flow is never unidirectional throughout the channel. We first demonstrate the qualitative property of the bounded channel flows. Then we show explicitly how a piecewise linear approximation of a relaxation...
Marshall J. Leitman, Epifanio G. Virga (1988)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
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We show that the smooth bounded channel flows of a viscoelastic fluid exhibit the following qualitative feature: Whenever the channel is sufficiently wide, any bounded velocity field satisfying the homogeneous equation of motion is such that if the flow stops at some time, then the flow is never unidirectional throughout the channel. We first demonstrate the qualitative property of the bounded channel flows. Then we show explicitly how a piecewise linear approximation of a relaxation...
Alexander Shnirelman (1999)
Journées équations aux dérivées partielles
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In the existing stability theory of steady flows of an ideal incompressible fluid, formulated by V. Arnold, the stability is understood as a stability with respect to perturbations with small in vorticity. Nothing has been known about the stability under perturbation with small energy, without any restrictions on vorticity; it was clear that existing methods do not work for this (the most physically reasonable) class of perturbations. We prove that in fact, every nontrivial steady...
Ibragimov, F. A., Tedeev, T. R., Kharebov, K. S. (2001)
Vladikavkazskiĭ Matematicheskiĭ Zhurnal
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Vassil Sgurev, Mariana Nikolova (1997)
The Yugoslav Journal of Operations Research
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