50 citations · 266 across the 44 of their papers we have counts for
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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…
On Malyshev's method of automorphic functions in diffraction by wedges
Alexander Komech, Anatoli Merzon
We describe Malyshev's method of automorphic functions in application to boundary value problems in angles and to diffraction by wedges. We give a consize survey of related results…
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 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…
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…
On stability of solid state in the Schrödinger-Poisson-Newton model
Alexander Komech, Elena Kopylova
We survey our recent results on stability of 3D crystals in the Schrödinger-Poisson-Newton model. We establish orbital stability for the ground state in the case of finite crystal…