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math-ph2024
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…
math-ph2024
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…
math-ph2024
On stability of solitons for 3D Maxwell-Lorentz equations with spinning particle
Alexander Komech, Elena Kopylova
We consider stability of solitons of 3D Maxwell--Lorentz system with extended charged spinning particle.The solitons are solutions which correspond to a particle moving with a cons…