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A relativistic version of the compressible Navier-Stokes equations for pure radiation

Mathematical Physics & Probability

Speaker: J. Blake Temple, UC Davis
Related Webpage: https://www.math.ucdavis.edu/~temple/
Location: 1147 MSB
Start time: Wed, Nov 16 2016, 4:30PM

I discuss joint work with Heinrich Freistuehler in which we derive a relativistic version of the compressible Navier-Stokes equations by a new application of the principle of symmetric hyperbolicity.

The main point is that when the relativistic dissipation parameters are determined by the condition that the second order operator should be symmetric hyperbolic in a second order sense, in the same variables (Godunov variables) that make the first order inviscid relativistic compressible Euler equations symmetric hyperbolic as a first order system, the resulting mixed order system behaves a lot like a dissipative parabolic system--but being hyperbolic, all wave speeds are bounded by the speed of light.