55 citations · 88 across the 10 of their papers we have counts for
10 papers
On periodic solutions and attractors for the Maxwell--Bloch equations
Alexander Komech
We consider the Maxwell-Bloch system which is a finite-dimensional approximation of the coupled nonlinear Maxwell-Schrödinger equations. The approximation consists of one-mode Maxw…
On parametric resonance in the laser action
Alexander Komech
We consider the selfconsistent semiclassical Maxwell--Schrödinger system for the solid state laser which consists of the Maxwell equations coupled to Schrödinger eq…
Boris R. Vainberg (on his 80th birthday)
Yuri Egorov, Alexander Komech, Peter Kuchment +5
Boris R. Vainberg was born on March 17, 1938, in Moscow. His father was a Lead Engineer in an aviation design institute. His mother was a homemaker. From early age, Boris was attra…
On the Titchmarsh convolution theorem for distributions on the circle
Andrew Comech, Alexander Komech
We prove a version of the Titchmarsh convolution theorem for distributions on the circle. We show that the "naive form" of the Titchmarsh theorem could be violated, but that such a…
On global attraction to quantum stationary states. Dirac equation with mean field interaction
Alexander Komech, Andrew Komech
We consider a U(1)-invariant nonlinear Dirac equation in dimension , interacting with itself via the mean field mechanism. We analyze the long-time asymptotics of solutions an…
Global attraction to solitary waves for Klein-Gordon equation with mean field interaction
Alexander Komech, Andrew Komech
We consider a U(1)-invariant nonlinear Klein-Gordon equation in dimension one or larger, self-interacting via the mean field mechanism. We analyze the long-time asymptotics of fini…