# Proper orthogonal decomposition of eigen modes in a gas affected by a mass force

@article{Perelomova2013ProperOD, title={Proper orthogonal decomposition of eigen modes in a gas affected by a mass force}, author={Anna Perelomova and Sergey Leble}, journal={arXiv: Mathematical Physics}, year={2013} }

The relations connecting perturbations in acoustic and entropy modes in a gas affected by a constant mass force, are derived. The background temperature of a gas may vary in the direction of an external mass force. The relations are independent on time. They make possible to decompose the total vector of perturbations into acoustic and non-acoustic parts uniquely at any instant. %The conclusions of distribution of the energy between sound and entropy modes may be also made at any instant. In…

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