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008 | 140904s2014 bl por d | ||
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_aP5A _cP5A |
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090 | _acs | ||
100 | 1 |
_aMailybaev, Alexei A. _u(IMPA, Rio de Janeiro, Brazil) _915047 |
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245 | 1 | 0 | _aBlowup as a driving mechanism of turbulence in shell models. |
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_aRio de Janeiro: _bIMPA, _c2014. |
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300 | _avideo online | ||
500 | _aThe Fourth Workshop on Fluids and PDE was held at the National Institute of Pure and Applied Mathematics (IMPA) in Rio de Janeiro, Brazil, from Monday 26 May to Friday 30 May 2014. This workshop is held every two to three years in Brazil. The fourth edition of the workshop was the closing event of a Thematic Program on Incompressible Fluids Dynamics, to be held at IMPA next Spring. Hence, the focus of the workshop will be incompressible fluid mechanics . | ||
505 | 2 | _aSince Kolmogorov proposed his phenomenological theory of hydrodynamic turbulence in 1941, the description of mechanism leading to the energy cascade and anomalous scaling remains an open problem in fluid mechanics. Soon after, in 1949 Onsager noticed that the scaling properties in inertial range imply non-differentiability of the velocity field in the limit of vanishing viscosity. This observation suggests that the turbulence mechanism may be related to a finite-time singularity (blowup) of incompressible Euler equations. However, the existence of such blowup is still an open problem too. In this talk, we show that the blowup indeed represents the driving mechanism of inertial range for a simplified (shell) model of turbulence. Here, blowups generate coherent structures (instantons), which travel through the inertial range in finite time and are described by universal self-similar statistics. The anomaly (deviation of scaling exponents of velocity moments from the Kolmogorov theory) is related analytically to the process of instanton creation using the large deviation principle. The results are confirmed by numerical simulations . | |
650 | 0 | 4 |
_aMatematica. _2larpcal _919899 |
697 |
_aCongressos e Seminários. _923755 |
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711 | 2 |
_aWorkshop on Fluids _n(IV: _d2014: _cIMPA, Rio de Janeiro, Brazil) _96490 |
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856 | 4 |
_zVIDEO _uhttps://www.youtube.com/watch?v=2p5A6A7XHrc&list=PLo4jXE-LdDTRo-UkmrGNasyLvdoV4YrBq&index=12&t=0s |
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856 | 4 |
_zEVENTO _uhttps://impa.br/sobre/memoria/reunioes-cientificas/iv-workshop-em-fluidos-e-edp/ |
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856 | 4 |
_zRESUMO _uhttps://impa.br/wp-content/uploads/2017/12/IVFluidsEDP_booklet.pdf |
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_2ddc _cBK |
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_aBLOWUP as a driving mechanism of turbulence in shell models. Rio de Janeiro: IMPA, 2014. video online. DisponÃvel em: <https://www.youtube.com/watch?v=2p5A6A7XHrc&list=PLo4jXE-LdDTRo-UkmrGNasyLvdoV4YrBq&index=12&t=0s>. Acesso em: 4 set. 2014. _c34611 _d34611 |