79 citations · 103 across the 10 of their papers we have counts for
10 papers
The global bifurcation picture for ground states in nonlinear Schrodinger equations
Eduard Kirr, Vivek Natarajan
In this paper, we propose a method of finding all coherent structures supported by a given nonlinear wave equation. It relies on enhancing the recent global bifurcation theory as d…
Long time dynamics and coherent states in nonlinear wave equations
Eduard-Wilhelm Kirr
We discuss recent progress in finding all coherent states supported by nonlinear wave equations, their stability and the long time behavior of nearby solutions.
Dynamic Statistical Scaling in the Landau-de Gennes Theory of Nematic Liquid Crystals
Eduard Kirr, Mark Wilkinson, Arghir Zarnescu
We investigate the asymptotic behaviour of a correlation function associated with a nematic liquid crystal system undergoing an isotropic-nematic phase transition following an inst…
Symmetry-breaking bifurcation in the nonlinear Schrödinger equation with symmetric potentials
E. Kirr, P. G. Kevrekidis, D. E. Pelinovsky
We consider the focusing (attractive) nonlinear Schrödinger (NLS) equation with an external, symmetric potential which vanishes at infinity and supports a linear bound state. We pr…
On the stability of ground states in 4D and 5D nonlinear Schrodinger equation including subcritical cases
E. Kirr, O. Mizrak
We consider a class of nonlinear Schrodinger equation in four and five space dimensions with an attractive potential. The nonlinearity is local but rather general encompassing for…
Asymptotic stability of ground states in 2D nonlinear Schrödinger equation including subcritical cases
E. Kirr, A. Zarnescu
We consider a class of nonlinear Schrödinger equation in two space dimensions with an attractive potential. The nonlinearity is local but rather general encompassing for the first…