48 citations · 245 across the 41 of their papers we have counts for
4 papers · 2 filters
On orbital stability of solitons for 2D Maxwell-Lorentz equations
Alexander Komech, Elena Kopylova
We prove the orbital stability of soliton solutions for 2D Maxwell--Lorentz system with extended charged particle. The solitons corresponds to the uniform motion and rotation of th…
Global attraction to solitons for 2D Maxwell--Lorentz equations with spinning particle
Elena Kopylova, Alexander Komech
We consider the 2D Maxwell--Lorentz system which describes a rotating particle coupled to the Maxwell field. The system admits stationary soliton-type solutions. We prove the attra…
On global attraction to solitons for 3D Maxwell-Lorentz equations
E. A. Kopylova, A. I. Komech
We consider the Maxwell field coupled to a single rotating charge. This Hamiltonian system admits soliton-type solutions, where the field is static, while the charge rotates with c…
Momentum map for the Maxwell-Lorentz equations with spinning particle
Alexander Komech, Elena Kopylova
We develop the theory of momentum map for the Maxwell-Lorentz equations with spinning extended charged particle. This theory is indispensable for the study of long-time behaviour a…