paper

New, spherical solutions of non-relativistic, dissipative hydrodynamics

arXiv:2203.05859 · doi:10.3390/e24040514 10.3390/e24060821

Abstract

We present a new family of exact solutions of dissipative fireball hydrodynamics for arbitrary bulk and shear viscosities. The main property of these solutions is a spherically symmetric, Hubble flow field. The motivation of this paper is mostly academic: we apply non-relativistic kinematics for simplicity and clarity. In this limiting case, the theory is particularly clear: the non-relativistic Navier-Stokes equations describe the dissipation in a well-understood manner. From the asymptotic analysis of our new exact solutions of dissipative fireball hydrodynamics, we could draw a surprising conclusion: this new class of exact solutions of non-relativistic dissipative hydrodynamics is asymptotically perfect.

15 pages, 4 figures, published and corrected in Entropy. In v1 and v2, Eqs. 26 and 43 were misprinted. Figs. 3 and 4 were updated correspondingly. These corrections have been collected as an Erratum, published separately in Entropy. In the current version (v4), we have corrected also eq. 50. The journal reference and the DOI now refer both to the corrected paper and its Erratum

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