41 citations · 179 across the 30 of their papers we have counts for
38 papers
Numerical study of solitary waves in Dirac--Klein--Gordon system
Andrew Comech, Julien Ricaud, Marco Roque
We use numerics to construct solitary waves in Dirac--Klein--Gordon (in one and three spatial dimensions) and study the dependence of energy and charge o…
Stable bi-frequency spinor modes as Dark Matter candidates
Andrew Comech, Niranjana Kulkarni, Nabile Boussaïd +1
We show that spinor systems with scalar self-interaction, such as the Dirac--Klein--Gordon system with Yukawa coupling or the Soler model, generically have bi-frequency solitary wa…
On spectral stability of one- and bi-frequency solitary waves in Soler model in (3+1)D
Nabile Boussaïd, Andrew Comech, Niranjana Kulkarni
For the nonlinear Dirac equation with scalar self-interaction (the Soler model) in three spatial dimensions, we consider the linearization at solitary wave solutions and find the i…
Virtual levels, virtual states, and the limiting absorption principle for higher order differential operators in 1D
Andrew Comech, Hatice Pekmez
We consider the resolvent estimates and properties of virtual states of the higher order derivatives in one dimension, focusing on Schroedinger-type operators of degree (the…
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…
Limiting absorption principle and virtual levels of operators in Banach spaces
Nabile Boussaid, Andrew Comech
We review the concept of the limiting absorption principle and its connection to virtual levels of operators in Banach spaces.