se actualizan datos de curso de isabel hubard y de semiplenaria de nusseveig
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afiliacion: Universidad di Tella, Buenos Aires
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web: https://www.hsph.harvard.edu/andrea-rotnitzky/
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- titulo: Inviscid dissipation and turbulence
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abstract: ''
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abstract: 'Turbulence is a phenomenon of wide theoretical and practical interest and an area of research with intense current activity.
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Mathematical modeling of turbulence relies, in an essential manner, on a thorough understanding of solutions of the Navier-Stokes
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equations at high Reynolds number.
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A central question of the mathematical analysis of turbulent flows is whether inviscid dissipation actually occurs and, furthermore,
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whether there is dissipation of energy in the vanishing viscosity limit. Smooth solutions of the zero viscosity equations, also known as
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the Euler equations, conserve energy over time. However, according to turbulence theory, in turbulent regimes energy should be
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dissipated and, additionally, the energy dissipation rate should be non-positive in the vanishing viscosity limit. Clearly, the underlying
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flows cannot be smooth.
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In 1949 Lars Onsager formulated what is now known as the Onsager Conjecture about the critical regularity which would allow for
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inviscid dissipation: solutions of the Euler equations with "more than a 1/3 derivative" (ie Holder continuous with exponent greater than
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1/3) should be conservative. In contrast it should be possible to produce solutions with "less than 1/3 derivative" which dissipate energy.
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During the last 10 to 12 years this area of research has seen a substantial amount of progress, culminating with the complete settling,
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in 2018, of the Onsager Conjecture. Complete? This is the subject of the talk'
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pdf: ''
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speaker:
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nombre: Helena Nussenszveig Lopes
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nombre: Sebastian Hurtado
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afiliacion: University of Chicago
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web: https://math.uchicago.edu/~shurtados/
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- titulo: TBA
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abstract: ''
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- titulo: 'Twisted honeycombs revisited: chirality in polytope-like structures'
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abstract: 'In the 70´s Coxeter considered the 4-dimensional regular polytopes and used the so-called Petrie Polygons to obtain quotients of the polytopes that, while having all possible rotational symmetry, lack reflectional symmetry. He called these objects Twisted Honeycombs. Nowadays, objects with such symmetry properties are often called chiral. In this mini-course I will review Coxeter´s twisted honeycombs and explore a natural way to extend Coxeter´s work to polytope-like structures, in particular, we shall see some properties of so-called chiral skeletal polyhedra as well as of chiral abstract polytopes.'
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pdf: ''
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speaker:
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nombre: Isabel Hubard
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