Jul 22 – 26, 2024
West University of Timisoara
Europe/Bucharest timezone

The advection-diffusion equation in the density frame

Jul 22, 2024, 5:35 PM
5m
Amphitheater A11 (West University of Timisoara)

Amphitheater A11

West University of Timisoara

Bulevardul Vasile Pârvan 4, Timișoara 300223, Romania https://www.uvt.ro/en/
Flash Talk (Plenary) + Poster Flash talk and posters

Speaker

Dr Rajeev Singh (Stony Brook University)

Description

We investigate an alternative approach, to the MIS relativistic approach, developed to describe fluids without an underlying boost symmetry. This "density frame" approach has no non-hydrodynamic modes and no additional parameters compared to the Landau theory of first order hydrodynamics, at the price of not being fully boost invariant. We show that the density frame equations of motion follow Landau ones if the ideal equations are used to rewrite lab-frame time derivatives appearing in the dissipative strains as spatial derivatives. With this rewrite the equations are first order in time and are stable. In addition, we also show that the density frame equations can be derived from the relativistic kinetic theory.

Primary author

Dr Rajeev Singh (Stony Brook University)

Presentation materials