The lifespan of 3D compressible flow
Thomas C. Sideris (1991-1992)
Séminaire Équations aux dérivées partielles (Polytechnique)
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Displaying similar documents to “Active scalars and the Euler equations”
The lifespan of 3D compressible flow
Viscous profiles of vortex patches
Franck Sueur (2008-2009)
Séminaire Équations aux dérivées partielles
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On the search for singularities in incompressible flows
Diego Córdoba (2006)
Applications of Mathematics
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In these notes we give some examples of the interaction of mathematics with experiments and numerical simulations on the search for singularities.
Numerical evidence of nonuniqueness in the evolution of vortex sheets
Milton C. Lopes Filho, John Lowengrub, Helena J. Nussenzveig Lopes, Yuxi Zheng (2006)
ESAIM: Mathematical Modelling and Numerical Analysis
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We consider a special configuration of vorticity that consists of a pair of externally tangent circular vortex sheets, each having a circularly symmetric core of bounded vorticity concentric to the sheet, and each core precisely balancing the vorticity mass of the sheet. This configuration is a stationary weak solution of the 2D incompressible Euler equations. We propose to perform numerical experiments to verify that certain approximations of this flow configuration converge to...