Exact (1+1)-dimensional flows of a perfect fluid
arXiv:1006.1603 · doi:10.1016/j.nuclphysa.2010.10.009
Abstract
We present a general solution of relativistic (1+1)-dimensional hydrodynamics for a perfect fluid flowing along the longitudinal direction as a function of time, uniformly in transverse space. The Khalatnikov potential is expressed as a linear combination of two generating functions with polynomial coefficients of 2 variables. The polynomials, whose algebraic equations are solved, define an infinite-dimensional basis of solutions. The kinematics of the (1+1)-dimensional flow are reconstructed from the potential.
14 pages, 1 figure
References in corpus (11)
- Viscosity in Strongly Interacting Quantum Field Theories from Black Hole Physics
- Nonlinear Fluid Dynamics from Gravity
- Hydrodynamic Models for Heavy Ion Collisions
- Gauge/gravity duality and thermalization of a boost-invariant perfect fluid
- Landau Hydrodynamics Reexamined
- Unified description of Bjorken and Landau 1+1 hydrodynamics
- A New Family of Simple Solutions of Perfect Fluid Hydrodynamics
- Detailed description of accelerating, simple solutions of relativistic perfect fluid hydrodynamics
- Entropy flow of a perfect fluid in (1+1) hydrodynamics
- A Co-moving Coordinate System for Relativistic Hydrodynamics
- Exact Solutions of the Equations of Relativistic Hydrodynamics Representing Potential Flows