Lagrangian description of fluid flow with pressure in relativistic cosmology

2000 ◽  
Vol 62 (12) ◽  
Author(s):  
Hideki Asada
Author(s):  
Marcela Cruchaga ◽  
Diego Celentano ◽  
Piotr Breitkopf ◽  
Pierre Villon ◽  
Alain Rassineux

2015 ◽  
Vol 27 (06) ◽  
pp. 1550014 ◽  
Author(s):  
Marcelo M. Disconzi

We prove short-time existence for the Einstein–Euler-Entropy system for non-isentropic fluids with data in uniformly local Sobolev spaces. The cases of compact as well as non-compact Cauchy surfaces are covered. The method employed uses a Lagrangian description of the fluid flow which is based on techniques developed by Friedrich, hence providing a completely different proof of earlier results of Choquet-Bruhat and Lichnerowicz. This new proof is specially suited for applications to self-gravitating fluid bodies. Along the way, we review some basic definitions and ideas, giving thus a relatively self-contained exposition that also serves as an introduction to many aspects of the problem.


1998 ◽  
Vol 08 (PR2) ◽  
pp. Pr2-805-Pr2-808
Author(s):  
A. Basak

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