7 papers
Relaxation of a Vlasov gas to an inhomogeneous state due to phase space mixing in an axisymmetric potential: A Newtonian analogy of the Kerr orbital motion
Ana Laura García-Perciante, Ana Laura Garc\a'ia-Perciante, Merce Guerrero +3
We explore the dynamics of a Vlasov gas propagating in an external axisymmetric potential consisting of a central potential with an additional quadrupolar component which gives ris…
General first-order constitutive equations for a relativistic dissipative multi-component fluid in the presence of a weak background electromagnetic field
J. Félix Salazar, Ana Laura García-Perciante, Olivier Sarbach
In this work we establish general constitutive equations for a relativistic plasma composed of an arbitrary number of classical, charged, and chemically non-reacting species in the…
First-order general constitutive equations for relativistic fluids using the projection method in the Chapman-Enskog expansion of the Boltzmann equation
A. L. García-Perciante, A. R. Méndez, O. Sarbach
The first-order out of equilibrium correction to the distribution function, obtained by implementing the projection method for the perturbed relativistic Boltzmann equation using t…
Kinetic theory for a relativistic charged gas: mathematical foundations of the hydrodynamic limit and first-order results within the projection method
Carlos Gabarrete, Ana Laura García-Perciante, Olivier Sarbach
This work derives first-order constitutive equations for a relativistic charged gas using the Chapman-Enskog expansion of near-equilibrium solutions to the Boltzmann equation, impl…
Relativistic dissipative fluids in the trace-fixed particle frame: Strongly hyperbolic quasi-linear first-order evolution equations
J. Félix Salazar, Ana Laura García-Perciante, Olivier Sarbach
In this paper we derive a new first-order theory of relativistic dissipative fluids by adopting the trace-fixed particle frame. Whereas in a companion letter we show that this theo…
Relativistic dissipative fluids in the trace-fixed particle frame: Hyperbolicity, causality, and stability
J. Félix Salazar, Ana Laura García-Perciante, Olivier Sarbach
We propose a first-order theory of relativistic dissipative fluids in the trace-fixed particle frame, which is similar to Eckart's frame except that the temperature is determined b…
Existence of the Chapman-Enskog solution and its relation with first-order dissipative fluid theories
A. L. García-Perciante, A. R. Méndez, O. Sarbach
The conditions for the existence of the Chapman-Enskog first-order solution to the Boltzmann equation for a dilute gas are examined from two points of view. The traditional procedu…