  Based on Makino's solutions with radially symmetry, we extend the
corresponding ones with elliptic symmetry for the compressible Euler and
Navier-Stokes equations in R^{N} (N\geq2). By the separation method, we reduce
the Euler and Navier-Stokes equations into 1+N differential functional
equations. In detail, the velocity is constructed by the novel Emden dynamical
system:
  {<K1.1/>|
  <K1.1 ilk="MATRIX" > a_{i}(t)=({\xi}/(a_{i}(t)({\Pi}a_{k}(t))^{{\gamma}-1})),
for i=1,2,....,N a_{i}(0)=a_{i0}>0, a_{i}(0)=a_{i1} </K1.1> with arbitrary
constants {\xi}, a_{i0} and a_{i1}. Some blowup phenomena or global existences
of the solutions obtained could be shown.
