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On the velocity-vorticity approach to viscous incompressible flow

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À memória de Emanuela Cristofaro, minha mãe “Tantum series juncturaque poleet. Tantum de medio sumptis accedit honoris” (Citation de Horatius en épigraphe de l'Encyclopedie de Diderot & D'Alambert).

Summary

This work present a selection of recent analytical and numerical results on the equations describing 2D and 3D laminar flows of a newtonian incompressible viscous fluid in a bounded domain, in the form of a second order system in terms of the velocity and vorticity fields. Most of the study is carried out taking as a model the case of stokesian flows, in which the main difficulties to treat this kind of system are encountered.

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  1. Département de Mathématiques, Université de Sain-Etienne, France

    V. Ruas

  2. Laboratoire de Modélisation en Mécanique, Université Paris 6, 8 rue du Capitaine Scott, 10ème étage, 75015, Paris, France

    V. Ruas

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Ruas, V. On the velocity-vorticity approach to viscous incompressible flow. Arch Computat Methods Eng 6, 223–268 (1999). https://doi.org/10.1007/BF02896424

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