Kasza G, Csernai LP, Csörgő T. New, Spherical Solutions of Non-Relativistic, Dissipative Hydrodynamics.
ENTROPY 2022;
24:e24040514. [PMID:
35455177 PMCID:
PMC9030774 DOI:
10.3390/e24040514]
[Citation(s) in RCA: 1] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Subscribe] [Scholar Register] [Received: 03/11/2022] [Revised: 03/29/2022] [Accepted: 03/31/2022] [Indexed: 02/01/2023]
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 can draw a surprising conclusion: this new class of exact solutions of non-relativistic dissipative hydrodynamics is asymptotically perfect.
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