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Compressible Fluid Mechanics

  1. Sep 21, 2008 #1
    Hi Guys,

    I know that the compressible Euler Equations are:

    [tex]\partial_t (\rho \mathbf u) + (\mathbf u \cdot \nabla)(\rho \mathbf u) + \nabla p = 0[/tex]

    [tex]\partial_t \rho + \nabla \cdot (\rho \mathbf u) = 0[/tex]

    Subject to suitable initial conditions and solving for [tex]\mathbf u, \; \rho[/tex] unknown.

    Does anybody have an example of a pair of functions which satisfies these relations in a non-1D case?
  2. jcsd
  3. Sep 21, 2008 #2
    Non trivial solutions would also be nice
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