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arxiv: 1107.3045 · v2 · pith:VZIXRZ7Lnew · submitted 2011-07-15 · 🧮 math.AP

Sturmian Multiple Zeros for Stokes and Navier--Stokes Equations in re³ via Solenoidal Hermite Polynomials

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keywords equationshermitemultiplepolynomialssolenoidalstokesaccordingbi-harmonic
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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.

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