123 citations · 547 across the 25 of their papers we have counts for
6 papers · 1 filter
Multisoliton solutions for equivariant wave maps on a dimensional wormhole
Piotr Bizoń, Jacek Jendrej, Maciej Maliborski
We study equivariant wave maps from the dimensional wormhole to the 2-sphere. This model has explicit harmonic map solutions which, in suitable coordinates, have the form of…
Characteristic approach to the soliton resolution
Piotr Bizoń, Bradley Cownden, Maciej Maliborski
As a toy model for understanding the soliton resolution phenomenon we consider a characteristic initial boundary value problem for the 4 equivariant Yang-Mills equation outside…
Dynamics at the threshold for blowup for supercritical wave equations outside a ball
Piotr Bizoń, Maciej Maliborski
We consider spherically symmetric supercritical focusing wave equations outside a ball. Using mixed analytical and numerical methods, we show that the threshold for blowup is given…
Threshold for blowup for the supercritical cubic wave equation
Irfan Glogić, Maciej Maliborski, Birgit Schörkhuber
We consider the focusing cubic wave equation in the energy supercritical case, i.e., in dimensions . For this model an explicit nontrivial self-similar blowup solution wa…
Threshold for blowup for equivariant wave maps in higher dimensions
Paweł Biernat, Piotr Bizoń, Maciej Maliborski
We consider equivariant wave maps from to in supercritical dimensions . Using mixed numerical and analytic methods, we show that th…
Conformal flow on and weak field integrability in AdS
Piotr Bizoń, Ben Craps, Oleg Evnin +3
We consider the conformally invariant cubic wave equation on the Einstein cylinder for small rotationally symmetric initial data. This simple equat…