On Analytic Solutions of (1+3)D Relativistic Ideal Hydrodynamic Equations

Details On Analytic Solutions of (1+3)D Relativistic Ideal Hydrodynamic Equations On Analytic Solutions of (1+3)D Relativistic Ideal Hydrodynamic Equations

2009-09-11

arxiv.org/abs/0909.2284v3

Physics

Nuclear Physics

Nuclear Theory

17 pages, references corrected

Scientific paper

In this paper, we find various analytic (1+3)D solutions to relativistic ideal hydrodynamic equations based on embedding of known low-dimensional scaling solutions. We first study a class of flows with 2D Hubble Embedding, for which a single ordinary differential equation for the remaining velocity field can be derived. Using this equation, all solutions with transverse 2D Hubble embedding and power law ansatz for the remaining longitudinal velocity field will be found. Going beyond the power law ansatz, we further find a few solutions with transverse 2D Hubble embedding and nontrivial longitudinal velocity field. Finally we investigate general scaling flows with each component of the velocity fields scaling independently, for which we also find all possible solutions. Possible physical relevance of these solutions will be discussed.

Affiliated with

Also associated with

No associations

Rating

On Analytic Solutions of (1+3)D Relativistic Ideal Hydrodynamic Equations does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with On Analytic Solutions of (1+3)D Relativistic Ideal Hydrodynamic Equations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On Analytic Solutions of (1+3)D Relativistic Ideal Hydrodynamic Equations will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-477073