3 papers
math-ph2026
Radiation damping of the soliton internal mode in 1D quadratic Klein-Gordon equation
Piotr Bizoń, Tomasz Romańczukiewicz
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.AP2024
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…
gr-qc2022
Comment on a regular black hole with Yang-Mills hair
Piotr Bizoń, Maciej Maliborski
We comment upon a black hole with Yang-Mills hair presented in a recent preprint by Chen, Du, and Yau.