Abstract
The authors investigate standard hydrodynamic stability problems in an infinitely long cylindrical domain. When the critical wavenumber, given by the classical linear stability theory is different from zero, existence of bifurcating spatially periodic solutions is known by standard techniques, such as centre manifold and normal forms. These techniques fundamentally rest on the assumption of periodic solutions. They suppress this assumption, just assuming boundedness at infinity, and they only study steady solutions. They are able to obtain a normal form in an elliptic PDE frame, by using the space variable as an 'evolution' one.
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