On the non-uniqueness of weak solution of the Euler equations
A. Shnirelman (1996)
Journées équations aux dérivées partielles
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A. Shnirelman (1996)
Journées équations aux dérivées partielles
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Massoudi, Mehrdad, Rao, C.Lakshmana (2001)
Mathematical Problems in Engineering
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Mario Pulvirenti (1999)
Journées équations aux dérivées partielles
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In this lecture i present some open mathematical problems concerning some PDE arising in the study of one-dimensional models for granular media.
Lyne, Owen D., Williams, David (2001)
Electronic Journal of Probability [electronic only]
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Yakov P. Terletsky (1964)
Annales de l'I.H.P. Physique théorique
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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...