Exact Solutions of the Equations of Relativistic Hydrodynamics Representing Potential Flows

Details Exact Solutions of the Equations of Relativistic Hydrodynamics Representing Potential Flows Exact Solutions of the Equations of Relativistic Hydrodynamics Representing Potential Flows

2007-09-07

arxiv.org/abs/0709.1053v2

SIGMA 3:116,2007

Physics

Mathematical Physics

This is a contribution to the Proc. of the Seventh International Conference ''Symmetry in Nonlinear Mathematical Physics'' (Ju

Scientific paper

10.3842/SIGMA.2007.116

We use a connection between relativistic hydrodynamics and scalar field theory to generate exact analytic solutions describing non-stationary inhomogeneous flows of the perfect fluid with one-parametric equation of state (EOS) $p = p(\epsilon)$. For linear EOS $p = \kappa \epsilon$ we obtain self-similar solutions in the case of plane, cylindrical and spherical symmetries. In the case of extremely stiff EOS ($\kappa=1$) we obtain ''monopole + dipole'' and ''monopole + quadrupole'' axially symmetric solutions. We also found some nonlinear EOSs that admit analytic solutions.

Affiliated with

Also associated with

No associations

Rating

Exact Solutions of the Equations of Relativistic Hydrodynamics Representing Potential Flows 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 Exact Solutions of the Equations of Relativistic Hydrodynamics Representing Potential Flows, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Exact Solutions of the Equations of Relativistic Hydrodynamics Representing Potential Flows will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-467222