Geodesic
Splitting superfluid hydrodynamic equations and instability of solutions in the case of degenerate bosons
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 50 (2010) no. 10, pp. 1803-1810 Cet article a éte moissonné depuis la source Math-Net.Ru

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Properties of solutions to superfluid hydrodynamic equations as applied to the degenerate Bose gas are considered. The equations are split into two independent pairs of equations. One pair is written for the normal component implies the instability of solutions, which manifests itself in the majorant catastrophe with respect to the total density. The case when the thermodynamic functions depend on the difference of the normal and superfluid velocities is also considered. In that case, the system is not split; however, the instability and the majorant catastrophe occur when the initial temperature tends to absolute zero. 
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V. I. Tsurkov. Splitting superfluid hydrodynamic equations and instability of solutions in the case of degenerate bosons. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 50 (2010) no. 10, pp. 1803-1810. http://geodesic.mathdoc.fr/item/ZVMMF_2010_50_10_a6/

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