New analytic solutions of the non-relativistic hydrodynamical equations

Details New analytic solutions of the non-relativistic hydrodynamical equations New analytic solutions of the non-relativistic hydrodynamical equations

1998-05-04

arxiv.org/abs/nucl-th/9805006v2

Phys.Lett. B443 (1998) 21-25

Physics

Nuclear Physics

Nuclear Theory

6 pages, LaTeX. Submitted to Physics Letters B. Shortened from 9 pages, errors corrected in the "More general solutions" secti

Scientific paper

10.1016/S0370-2693(98)01297-0

New solutions are found for the non-relativistic hydrodynamical equations. These solutions describe expanding matter with a Gaussian density profile. In the simplest case, thermal equilibrium is maintained without any interaction, the energy is conserved, and the process is isentropic. More general solutions are also obtained that describe explosions driven by heat production, or contraction of the matter caused by energy loss.

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