Mathematical foundation of flow of glaciers and large ice masses
Kolumban Hutter (1985)
Banach Center Publications
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Kolumban Hutter (1985)
Banach Center Publications
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Saroop Kaul (1987)
Fundamenta Mathematicae
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Duško Letić, Vesna Jevtić (2009)
The Yugoslav Journal of Operations Research
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V. M. Soundalgekar (1971)
Matematički Vesnik
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Alexander Shnirelman (1999-2000)
Séminaire Équations aux dérivées partielles
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D. V. Krishna (1966)
Applicationes Mathematicae
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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.
Ronald Knight (1980)
Fundamenta 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...
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...
Krzysztof Ciesielski (2012)
Open Mathematics
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The Poincaré-Bendixson Theorem and the development of the theory are presented - from the papers of Poincaré and Bendixson to modern results.