Sturmian Multiple Zeros for Stokes and Navier--Stokes Equations in \re^3 via Solenoidal Hermite Polynomials

Abstract

Multiple spatial zero formations for Stokes and Navier-Stokes equations in three dimensions are shown to occur according to nodal sets of solenoidal Hermite polynomials. Extensions to well-posed Burnett equations with the bi-harmonic viscosity operator are also discussed.Comment: 16 pages. arXiv admin note: text overlap with arXiv:0901.428