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New, Spherical Solutions of Non-Relativistic, Dissipative Hydrodynamics
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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.
Title: New, Spherical Solutions of Non-Relativistic, Dissipative Hydrodynamics
Description:
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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