Global entropy solutions for isentropic relativistic fluid dynamics
- Univ. of Michigan, Ann Arbor, MI (United States)
We consider here the relativistic equations for a perfect isentropic fluid in Minkowski spacetime. The motion of a fluid is described by the Euler equations {del}{sub {alpha}}T{sup {alpha}{beta}} = 0 where {del}{sub {alpha}} denotes covariant differentiation and T{sup {alpha}{beta}} = (p+p)u{sup {alpha}}u{sup {beta}} + p{eta}{sup {alpha}{beta}} denotes the stress energy tensor for the fluid. Here the speed of light in normalized to be 1, p = p({rho},S) is the pressure where {rho} is the mass energy density of the fluid and S is the specific entropy, u is the 4-velocity of the fluid particle, and {eta}{sup {alpha}{beta}} denotes the flat Minkowski metric. In addition we always have the law of baryon conservation, which is expressible as {del}{sub {alpha}}(nu{sup {alpha}}) = 0, where n =n({rho}, S) is the proper number density of baryons. 21 refs.
- Sponsoring Organization:
- USDOE
- OSTI ID:
- 494324
- Journal Information:
- Communications in Partial Differential Equations, Journal Name: Communications in Partial Differential Equations Journal Issue: 9-10 Vol. 21; ISSN 0360-5302; ISSN CPDIDZ
- Country of Publication:
- United States
- Language:
- English
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