For self-similar exponent mu > 1, any sufficiently small Fourier-weighted perturbation of a radial vortex produces a genuine asymmetric algebraic spiral weak solution of the 2-D Euler equations.
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Asymmetric Self-similar Spiral Solutions of 2-D Incomressible Euler Equations
For self-similar exponent mu > 1, any sufficiently small Fourier-weighted perturbation of a radial vortex produces a genuine asymmetric algebraic spiral weak solution of the 2-D Euler equations.