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arXiv · 2203.05859

New, spherical solutions of non-relativistic, dissipative hydrodynamics

Gábor Kasza·László Csernai·Tamás Csörgő
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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.

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Gábor Kasza, László Csernai, Tamás Csörgő. 2022-03-11. New, spherical solutions of non-relativistic, dissipative hydrodynamics. https://doi.org/10.3390/e24040514%2010.3390%2Fe24060821

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