50 citations · 266 across the 44 of their papers we have counts for
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Attractors of Hamiltonian nonlinear partial differential equations
Andrew Comech, Alexander Komech, Elena Kopylova
We survey the theory of attractors of nonlinear Hamiltonian partial differential equations since its appearance in 1990. These are results on global attraction to stationary states…
On absorbing set for 3D Maxwell--Schrödinger damped driven equations in bounded region
Alexander Komech
We consider the 3D damped driven Maxwell--Schrödinger equations in a bounded region under suitable boundary conditions. We establish new a priori estimates, which provide the exist…
On global attractors for 2D damped driven nonlinear Schrödinger equations
A. Komech, E. Kopylova
Well-posedness and global attractor are established for 2D damped driven nonlinear Schrödinger equation with almost periodic pumping in a bounded region. The key role is played by…
On stability of ground states for finite crystals in the Schroedinger-Poisson model
Alexander Komech, Elena Kopylova
We consider the Schrödinger-Poisson-Newton equations for finite crystals under periodic boundary conditions with one ion per cell of a lattice. The electrons are described by one-p…
On the dispersion decay for crystals in the linearized Schrödinger-Poisson model
Alexander Komech, Elena Kopylova
The Schrödinger-Poisson-Newton equations for crystals with a cubic lattice and one ion per cell are considered. The ion charge density is assumed i) to satisfy the Wiener and Jelli…
On orbital stability of ground states for finite crystals in fermionic Schrödinger--Poisson model
Alexander Komech, Elena Kopylova
We consider the Schrödinger--Poisson--Newton equations for finite crystals under periodic boundary conditions with one ion per cell of a lattice. The electron field is described by…