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On Shock Profiles in Four-Field Formulations of Dissipative Relativistic Fluid Dynamics

Prof. Heinrich FREISTüHLER
Date & Time
08 Apr 2025 (Tue) | 05:00 PM - 06:00 PM
Venue
Online via Zoom
Registration Link: https://cityu.zoom.us/meeting/register/f2Q-kxaDRhSpN7zI0y1dmA

ABSTRACT

The talk shows that in second-order hyperbolic systems of partial differential equations proposed in authors’ earlier paper (J. Math. Phys. 59 (2018)) for modelling the relativistic dynamics of barotropic fluids in the presence of viscosity and heat conduction, shock waves of arbitrary strength have smooth, monotone dissipation profiles. The results and arguments extend classical considerations of Weyl (Comm. Pure Appl. Math. 2 (1949)) and Gilbarg (Amer. J. Math. 73 (1951)) to the relativistic setting. Joint work with Blake Temple.

 

 

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