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arxiv: math-ph/0207016 · v2 · pith:7R6MRAYLnew · submitted 2002-07-11 · 🧮 math-ph · math.MP· nlin.SI· physics.flu-dyn

Symmetry reduction and exact solutions of the Navier-Stokes equations

classification 🧮 math-ph math.MPnlin.SIphysics.flu-dyn
keywords equationsnavier-stokesansatzesexactsolutionsconstructeddescribeddifferential
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Ansatzes for the Navier-Stokes field are described. These ansatzes reduce the Navier-Stokes equations to system of differential equations in three, two, and one independent variables. The large sets of exact solutions of the Navier-Stokes equations are constructed.

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