activity
20022026
most citedOn the convergence to statistical equilibrium for harmonic crystals

57 citations · 97 across the 8 of their papers we have counts for

collaborators

7 papers

math.AP2026

On single-frequency asymptotics for the Maxwell-Bloch equations: pure states

A. I. Komech, E. A. Kopylova

We consider damped driven Maxwell-Bloch equations for a single-mode Maxwell field coupled to a two-level molecule. The equations are used for semiclassical description of the laser…

math.AP2026

On global dynamics for damped driven Jaynes-Cummings equations

A. I. Komech, E. A. Kopylova

The article concerns damped driven Jaynes-Cummings equation which describes quantised one-mode Maxwell field coupled to a two-level molecule. We consider a broad class of damping a…

math-ph2026

On dynamical semigroup for damped driven Jaynes-Cummings equations

A. I. Komech, E. A. Kopylova

The article addresses the damped driven Jaynes-Cummings for quantised one-mode Maxwell field coupled to a two-level molecule. We consider a broad class of damping and pumping which…

math-ph2023

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…

math-ph2005★ 1 cited

On Convergence to Equilibrium Distribution, II. The Wave Equation in Odd Dimensions, with Mixing

T. V. Dudnikova, A. I. Komech, N. E. Ratanov +1

The paper considers the wave equation, with constant or variable coefficients in , with odd . We study the asymptotics of the distribution of the random soluti…

math-ph2002★ 38 cited

On two-temperature problem for harmonic crystals

T. V. Dudnikova, A. I. Komech, N. J. Mauser

We consider the dynamics of a harmonic crystal in dimensions with components,. The initial date is a random function with finite mean density of the energy which…