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arxiv: 0902.2740 · v3 · submitted 2009-02-16 · 🧮 math-ph · math.MP· physics.flu-dyn

Analytical Solutions to the Navier-Stokes Equations with Density-dependent Viscosity and with Pressure

classification 🧮 math-ph math.MPphysics.flu-dyn
keywords solutionsequationsnavier-stokesanalyticaldensity-dependentpressureviscosityable
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This article is the continued version of the analytical solutions for the pressureless Navier-Stokes equations with density-dependent viscosity in "M.W. Yuen, Analyitcal Solutions to the Navier-Stokes Equations, J. Math. Phys., 49 (2008) No. 11, 113102, 10pp". We are able to extend the similar solutions structure to the case with pressure under some restriction for $\gamma$ and $\theta$.

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