11-74 William McLeod Rivera

A Fourier Series approach to solving the Navier-Stokes Equations with Spatially Periodic Data (523K, pdf) May 16, 11

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Abstract. The symbol U=(u,v,w) denotes the velocity or momentum (the mass multiplied by the velocity). I transform the Navier Stokes momentum and density equations into infinite systems of ordinary differential and linear equations for the classical Fourier coefficients. I prove theorems on existence, uniqueness and smoothness of solutions. I interpret the results using the Fourier series representation of (U,P) .

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