New,Spherical Solutions of Non-Relativistic,Dissipative Hydrodynamics |
| |
Authors: | Gbor Kasza Lszl P Csernai Tams Csrg |
| |
Institution: | 1.Wigner Research Centre for Physics, H-1525 Budapest, Hungary;2.MATE Institute of Technology KRC, Mátrai út 36, H-3200 Gyöngyös, Hungary;3.Department of Atomic Physics, Eötvös Loránd University, Pázmány P. 1/A, H-1118 Budapest, Hungary;4.Department of Physics and Technology, University of Bergen, Allégt. 55, 5007 Bergen, Norway;5.Frankfurt Institute for Advanced Studies, 60438 Frankfurt, Germany |
| |
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. |
| |
Keywords: | hydrodynamics viscosity exact solutions speed of sound |
|
|