On the -instability of fluid flows
Alexander Shnirelman (1999-2000)
Séminaire Équations aux dérivées partielles
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Alexander Shnirelman (1999-2000)
Séminaire Équations aux dérivées partielles
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Kolumban Hutter (1985)
Banach Center Publications
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Roşu, L., Bărbulescu, A., Hâncu, S., Dumitru, A. (2007)
Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică
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Waters, S.L., Guiot, C. (2001)
Journal of Theoretical Medicine
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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.
V. M. Soundalgekar (1971)
Matematički Vesnik
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D. V. Krishna (1966)
Applicationes Mathematicae
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Stéphanie Salmon, Marc Thiriet, Jean-Frédéric Gerbeau (2003)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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Saccular aneurisms, swelling of a blood vessel, are investigated in order (i) to estimate the development risk of the wall lesion, before and after intravascular treatment, assuming that the pressure is the major factor, and (ii) to better plan medical interventions. Numerical simulations, using the finite element method, are performed in three-dimensional aneurisms. Computational meshes are derived from medical imaging data to take into account both between-subject and within-subject...
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...