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[null,"1.","Record Nr.",null,"UNINA9910807220503321"]
[null,null,"Autore",null,"Bedrossian Jacob <1984->"]
[null,null,"Titolo",null,"Dynamics near the subcritical transition of the 3D Couette flow I : below threshold case / / Jacob Bedrossian, Pierre Germain, Nader Masmoudi"]
[null,null,"Pubbl/distr/stampa",null,"Providence, RI : , : American Mathematical Society, , [2020]"]
[{"$nulls":4},"©2020"]
[null,null,"ISBN",null,"1-4704-6251-6"]
[null,null,"Descrizione fisica",null,"1 online resource (v, 158 pages)"]
[null,null,"Collana",null,"Memoirs of the American Mathematical Society ; ; Number 1294"]
[null,null,"Classificazione",null,"35B3576E0576E3076F0676F1035B4076F25"]
[null,null,"Disciplina",null,"532.58"]
[null,null,"Soggetti",null,"Inviscid flow"]
[{"$nulls":4},"Mixing"]
[{"$nulls":4},"Shear flow"]
[{"$nulls":4},"Stability"]
[{"$nulls":4},"Three-dimensional modeling"]
[{"$nulls":4},"Damping (Mechanics)"]
[{"$nulls":4},"Viscous flow - Mathematical models"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Note generali","\"July 2020, volume 266, number 1294 (fourth of 6 numbers).\""]
[null,null,null,"Nota di bibliografia","Includes bibliographical references and index."]
[null,null,"Nota di contenuto",null,"Outline of the proof -- Regularization and continuation -- High norm estimate on Q2 -- High norm estimate on Q3 -- High norm estimate on Q1/0 -- High norm estimate on Q1/[not equal] -- Coordinate system controls -- Enhanced dissipation estimates -- Sobolev estimates."]
[null,null,null,"Sommario/riassunto","\"We study small disturbances to the periodic, plane Couette flow in the 3D incompressible Navier-Stokes equations at high Reynolds number Re. We prove that for sufficiently regular initial data of size [epsilon] [less than or equal to] c0Re-1 for some universal c0 > 0, the solution is global, remains within O(c0) of the Couette flow in L2, and returns to the Couette flow as t [right arrow] [infinity]. For times t >/-Re1/3, the streamwise dependence is damped by a mixing-enhanced dissipation effect and the solution is rapidly attracted to the class of \"2.5 dimensional\" streamwise-independent solutions referred to as streaks. Our analysis contains perturbations that experience a transient growth of kinetic energy from O(Re-1) to O(c0) due to the algebraic linear instability known as the lift-up effect. Furthermore, solutions can exhibit a direct cascade of energy to small scales. The behavior is very "]
[{"$nulls":4},"different from the 2D Couette flow, in which stability is independent of Re, enstrophy experiences a direct cascade, and inviscid damping is dominant (resulting in a kind of inverse energy cascade). In 3D, inviscid damping will play a role on one component of the velocity, but the primary stability mechanism is the mixing-enhanced dissipation. Central to the proof is a detailed analysis of the interplay between the stabilizing effects of the mixing and enhanced dissipation and the destabilizing effects of the lift-up effect, vortex stretching, and weakly nonlinear instabilities connected to the non-normal nature of the linearization\"--"]
[null,"2.","Record Nr.",null,"UNISA996204858903316"]
[null,null,"Titolo",null,"Frontiers of Architecture and Civil Engineering in China"]
[null,null,"Pubbl/distr/stampa",null,"Beijing, : Higher Education Press, co-published with Springer-Verlag GmbH"]
[null,null,"ISSN",null,"1673-7512"]
[null,null,"Soggetti",null,"Engineering - Architecture"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Periodico"]
[null,null,null,"Note generali","Refereed/Peer-reviewed"]