On the optimal systems of subalgebras for the equations of hydrodynamic stability analysis of smooth shear flows and their group-invariant solutions

We present a unifying solution framework for the linearized compressible equations for two-dimensional linearly sheared unbounded flows using the Lie symmetry analysis. The full set of symmetries that are admitted by the underlying system of equations is employed to systematically derive the one- an...

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Veröffentlicht in:Journal of mathematical physics 2017-04, Vol.58 (4), p.43101
Hauptverfasser: Hau, Jan-Niklas, Oberlack, Martin, Chagelishvili, George
Format: Artikel
Sprache:eng
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