000			02903n a2200289#a 4500
001			35753
003			P5A
005			20221213140529.0
007			cr cuuuuuauuuu
008			140904s2014 bl por d
035			_aocm51338542
040			_aP5A _cP5A
090			_acs
100	1		_aMailybaev, Alexei A. _u(IMPA, Rio de Janeiro, Brazil) _915047
245	1	0	_aBlowup as a driving mechanism of turbulence in shell models.
260			_aRio de Janeiro: _bIMPA, _c2014.
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
711	2		_aWorkshop on Fluids _n(IV: _d2014: _cIMPA, Rio de Janeiro, Brazil) _96490
856	4		_zVIDEO _uhttps://www.youtube.com/watch?v=2p5A6A7XHrc&list=PLo4jXE-LdDTRo-UkmrGNasyLvdoV4YrBq&index=12&t=0s
856	4		_zEVENTO _uhttps://impa.br/sobre/memoria/reunioes-cientificas/iv-workshop-em-fluidos-e-edp/
856	4		_zRESUMO _uhttps://impa.br/wp-content/uploads/2017/12/IVFluidsEDP_booklet.pdf
942			_2ddc _cBK
999			_aBLOWUP as a driving mechanism of turbulence in shell models. Rio de Janeiro: IMPA, 2014. video online. Disponível em: <https://www.youtube.com/watch?v=2p5A6A7XHrc&list=PLo4jXE-LdDTRo-UkmrGNasyLvdoV4YrBq&index=12&t=0s>. Acesso em: 4 set. 2014. _c34611 _d34611