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Perona-Malik equation and its numerical properties
Maciek Wielgus
This work concerns the Perona-Malik equation, which plays essential role in image processing. The first part gives a survey of results on existance, uniqueness and stability of sol…
Local Stability of Strongly Magnetized Black Hole Tori
Maciek Wielgus, P. Chris Fragile, Ziming Wang +1
We investigate the local stability of strongly magnetized relativistic tori orbiting Kerr black holes, for the case of a purely toroidal magnetic field topology. Our approach encom…
Cosmic background radiation in the vicinity of a Schwarzschild black hole: no classic firewall
Maciek Wielgus, George F. R. Ellis, Frederic H. Vincent +1
The Cosmic Blackbody Background Radiation pervades the entire Universe, and so falls into every astrophysical black hole. The blueshift of the infalling photons, measured by a stat…