48 citations · 245 across the 41 of their papers we have counts for
42 papers
On soliton asymptotics for Maxwell--Lorentz equations with rotating particle
Elena Kopylova
We consider the 2D Maxwell--Lorentz equations with an extended charged rotating particle. The system admits soliton solutions corresponding to a particle moving with a constant vel…
On dispersive estimates for one-dimensional Klein-Gordon equations
Elena Kopylova
We improve previous results on dispersive decay for 1D Klein- Gordon equation. We develop a novel approach, which allows us to establish the decay in more strong norms and weaken t…
On dissipation operators of Quantum Optics
A. I. Komech, E. A. Kopylova
We consider dissipation operators used in Quantum Optics for the description of quantum spontaneous emission in the context of damped driven Jaynes-Cummings equations. The equation…
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…