Asymptotic Equivalence of the Linear Navier-Stokes and Heat Equations in One Dimension
نویسنده
چکیده
Q = (& is a symmetric negative semidefinite N x N matrix which has a $-dimensional nullspace X( 1 4 d < N) and Q%~ f 0; er = diag(v,), where the numbers (vJ are real and distinct; f is an N-tupIe of nice functions of x. The Navier-Stokes equations are the second in a hierarchy of approximate equations (the first being Euler) for the hydrodynamical moments of solutions of Eq. (1.1) with E = 1. For the special orthonormal basis (e&‘); 1 < k < dl of Jy” introduced in [Z], it was shown that the Navier-Stokes equations for the moments n&, x) = (p, et’) f C p(t, x, q) et’(q) l<j<N
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