Abstract
In this paper we provide analytical and/or numerical evidences of the qualitative properties of discontinuity fronts, developed by the solutions of the relativistic heat equation (and some porous media variants). We study the local-in-time existence of radially symmetric smooth solutions (inside the support) for smooth initial conditions whose only discontinuities are at the boundary of its support. Then we show some numerical experiments that permit us to conjecture the regularity and qualitative properties of entropy solutions of the relativistic heat equation and some porous media–type variants.
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