3 papers
math.AP2026
Three self-similar solutions of Yang-Mills equations in high odd dimensions
Piotr BizoÅ, Piotr Bizoń, Irfan GlogiÄ +2
We consider spherically symmetric Yang-Mills equations with gauge group in dimensional Minkowski spacetime. For any given odd , we establish existence and u…
math-ph2026
Radiation damping of the soliton internal mode in 1D quadratic Klein-Gordon equation
Piotr BizoÅ, Tomasz RomaÅczukiewicz
We study long-time dynamics of small even perturbations of the soliton in 1D quadratic Klein-Gordon equation. The soliton possesses both an internal mode and the unstable mode. On…
math.AP2025
Multisoliton solutions for equivariant wave maps on a dimensional wormhole
Piotr BizoÅ, 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…