August 31, 2026 to September 4, 2026
Auditorio José Adem, Mexico
America/Mexico_City timezone

Relativistic dissipative fluids from kinetic theory using the trace-fixed particle frame

Not scheduled
20m
Auditorio José Adem, Mexico

Auditorio José Adem, Mexico

Av Instituto Politécnico Nacional 2508, San Pedro Zacatenco, Gustavo A. Madero, 07360, Mexico-City, Mexico
Talk

Speaker

Olivier Sarbach (Universidad Michoacana de San Nicolás de Hidalgo)

Description

We discuss a new dissipative fluid theory on an arbitrary (flat or curved) spacetime background. This theory is obtained from kinetic theory by applying a new version of the relativistic Chapman-Enskog method to derive the constitutive relations to first order in the Knudsen parameter. The novelty of our approach consists in applying a suitable projection method to solve the linearized Boltzmann equation and to use the so-called trace-fixed particle frame, which determines the state variables $n$,$T$,$u$ (particle density, temperature parameter and four-velocity) by fixing the trace of the stress-energy tensor in addition to the particle current density. As we show, this leads naturally to a dissipative fluid theory which, in contrast to the traditional first-order theories (Eckart and Landau), is hyperbolic, causal, and stable at global equilibrium configurations.

Authors

Prof. Carlos Gabarrete (Universidad Nacional Autónoma de Honduras) Prof. Ana Laura García-Perciante (Universidad Autónoma Metropolitana, Cuajimalpa) Olivier Sarbach (Universidad Michoacana de San Nicolás de Hidalgo)

Presentation materials

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