### Saturnian rings

Oliver E. Glenn (1935)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

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Oliver E. Glenn (1935)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

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Nezlin, M.V., Rylov, A.Yu., Snezhkin, E.N., Titishov, K.B., Chernikov, G.P. (1999)

Discrete Dynamics in Nature and Society

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Saldia, J.P., Cimino, A., Schulz, W., Elaskar, S., Costa, A. (2009)

Mathematical Problems in Engineering

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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...

Couder-Castañeda, Carlos (2009)

Journal of Applied Mathematics

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Javier Jiménez (2007)

RACSAM

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The study of turbulence near walls has experienced a renaissance in the last decade, in part because of the availability of high-quality numerical simulations. The viscous and buffer layers over smooth walls are now fairly well understood. They are essentially independent of the outer flow, and there is a family of numerically-exact nonlinear structures that predict well many of the best-known characteristics of the wall layer, such as the intensity and the spectra of the velocity fluctuations,...

Olivier Darrigol (2002)

Revue d'histoire des mathématiques

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The stability or instability of a few basic flows was conjectured, debated, and sometimes proved in the nineteenth century. Motivations varied from turbulence observed in real flows to permanence expected in hydrodynamic theories of matter. Contemporary mathematics often failed to provide rigorous answers, and personal intuitions sometimes gave wrong results. Yet some of the basic ideas and methods of the modern theory of hydrodynamic instability occurred to the elite of British and...

M. Seiß, F. Spahn (2011)

Mathematical Modelling of Natural Phenomena

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The space missions Voyager and Cassini together with earthbound observations revealed a wealth of structures in Saturn’s rings. There are, for example, waves being excited at ring positions which are in orbital resonance with Saturn’s moons. Other structures can be assigned to embedded moons like empty gaps, moon induced wakes or S-shaped propeller features. Furthermore, irregular radial structures are observed in the range from 10 meters until kilometers. Here some of these structures...

Rosar, M. E., Peskin, Charles S. (2001)

The New York Journal of Mathematics [electronic only]

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Chen, Weixing (2006)

International Journal of Mathematics and Mathematical Sciences

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