Variational Principle for Relativistic Fluid Dynamics
arXiv:hep-ph/9910208 · doi:10.1088/0954-3899/25/9/312
Abstract
The variational principle for the special and general relativistic hydrodynamics are discussed in view of its application to obtain approximate solutions to these problems. We show that effective Lagrangians can be obtained for suitable ansatz for the dynamical variables such as density profile of the system. As an example, the relativistic version of spherical droplet motion (Rayleigh-Plesset equation) is derived from a simple Lagrangian. For the general relativistic case the most general Lagrangian for spherically symmetric systems is given.
20 pages, 1 figure
Cited by in corpus (26)
- A unified theory for bubble dynamics
- Relativistic Fluid Dynamics: Physics for Many Different Scales
- Smoothed Particle Hydrodynamics for Relativistic Heavy Ion Collisions
- Relativistic fluid dynamics: physics for many different scales
- Bubble Dynamics in N Dimensions
- Conservation of Circulation in Magnetohydrodynamics
- Action Principles for Relativistic Extended Magnetohydrodynamics: A Unified Theory of Magnetofluid Models
- Hydrodynamical instabilities in an expanding quark gluon plasma
- Bubble dynamics and the quark-hadron phase transition in nuclear collisions
- Generalization of Uncertainty Relation for Quantum and Stochastic Systems
- Sound waves and solitons in hot and dense nuclear matter
- Magnetofluid Dynamics in curved spacetime
- Coarse graining scale and effectiveness of hydrodynamic modeling
- Korteweg - de Vries solitons in relativistic hydrodynamics
- Two-particle correlations at high-energy nuclear collisions, peripheral-tube model revisited
- Soliton propagation in relativistic hydrodynamics
- Perfect magnetohydrodynamics as a field theory
- Extended Kelvin theorem in relativistic magnetohydrodynamics
- Noether Theorem of Relativistic-Electromagnetic Ideal Hydrodynamics
- A variational formulation of relativistic hydrodynamics
- Conservation Laws of One-Dimensional Equations of Relativistic Gas Dynamics in Lagrangian Coordinates
- Open Problems in Hydrodynamical Approach to Relativistic Heavy Ion Collisions
- A Study of the Di-Hadron Angular Correlation Function in Event by Event Ideal Hydrodynamics
- Chiral MHD description of a perfect magnetized QGP using the effective NJL model in a strong magnetic field
- NeXSPheRIO results on azimuthal anisotropy in Au-Au collisions at 200A GeV
- Coarse Graining in Hydrodynamics and Effects of Fluctuations