000			02760n a2200289#a 4500
001			35772
003			P5A
005			20221213140530.0
007			cr cuuuuuauuuu
008			140905s2014 bl por d
035			_aocm51338542
040			_aP5A _cP5A
090			_acs
100	1		_aZang, Aibin _u(Yichun University, China and UFRJ, Rio de Janeiro, Brazil) _96513
245	1	0	_aConvergence of the 2D Euler to Euler equations in the Dirichlet case: indifference to boundary layers.
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		_aIn this talk, I will present our new results of the Euler -a system as a regularization of the incompressible Euler equations in a smooth, two-dimensional, bounded domain. For the limiting Euler system we consider the usual non-penetration boundary condition, while, for the Euler -a regularization, we use velocity vanishing at the boundary. We also assume that the initial velocities for the Euler -a system approximate, in a suitable sense, as the regularization parameter a-> 0, the initial velocity for the limiting Euler system. For small values of a this situation leads to a boundary layer, which is the main concern of this work. Our main result is that, under appropriate regularity assumptions, and despite the presence of this boundary layer, the solutions of the Euler -a system converge, as a -> 0, to the corresponding solution of the Euler equations, in L2 in space, uniformly in time .
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=-FjZ5qdBf5w&list=PLo4jXE-LdDTRo-UkmrGNasyLvdoV4YrBq&index=31&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			_aCONVERGENCE of the 2D Euler to Euler equations in the Dirichlet case: indifference to boundary layers. Rio de Janeiro: IMPA, 2014. video online. Disponível em: <https://www.youtube.com/watch?v=-FjZ5qdBf5w&list=PLo4jXE-LdDTRo-UkmrGNasyLvdoV4YrBq&index=31&t=0s>. Acesso em: 5 set. 2014. _c34630 _d34630