Vanishing viscosity plane parallel channel flow and related singular perturbation problems
نویسندگان
چکیده
منابع مشابه
Vanishing Viscosity Plane Parallel Channel Flow and Related Singular Perturbation Problems
We study a special class of solutions to the 3D Navier-Stokes equations ∂tu +∇uνu +∇p = ν∆u , with no-slip boundary condition, on a domain of the form Ω = {(x, y, z) : 0 ≤ z ≤ 1}, dealing with velocity fields of the form u(t, x, y, z) = (v(t, z), w(t, x, z), 0), describing plane-parallel channel flows. We establish results on convergence u → u as ν → 0, where u solves the associated Euler equat...
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ژورنال
عنوان ژورنال: Analysis & PDE
سال: 2008
ISSN: 1948-206X,2157-5045
DOI: 10.2140/apde.2008.1.35