On Factorization of a Perturbation of a J-selfadjoint Operator Arising in Fluid Dynamics (2008)
Chugunova, Marina, Strauss, Vladimir
We prove that some perturbation of a J-selfadjoint second order differential operator admits factorization and use this new representation of the operator to prove compactness of its resolvent and to...
On the nature of ill-posedness of the forward-backward heat equation (2008)
Chugunova, Marina, Karabash, Illya M., Pyatkov, Sergei G.
We study the Cauchy problem with periodic initial data for the forward-backward heat equation defined by the J-self-adjoint linear operator L depending on a small parameter. The problem has been...
Factorization of the Indefinite Convection-Diffusion Operator (2008)
Chugunova, Marina, Strauss, Vladimir
We prove that some non-self-adjoint differential operator admits factorization and apply this new representation of the operator to construct explicitly its domain. We also show that this operator is...
Spectrum of a non-self-adjoint operator associated with the periodic heat equation (2007)
Chugunova, Marina, Pelinovsky, Dmitry
We study the spectrum of the linear operator $L = - \partial_{\theta} - \epsilon \partial_{\theta} (\sin \theta \partial_{\theta})$ subject to the periodic boundary conditions on $\theta \in...
Feshbach resonance management of Bose-Einstein condensates in optical lattices (2006)
Porter, Mason A., Chugunova, Marina, Pelinovsky, Dmitry E.
We analyze gap solitons in trapped Bose-Einstein condensates (BECs) in optical lattice potentials under Feshbach resonance management. Starting with an averaged Gross-Pitaevsky equation with a...
Chugunova, Marina, Pelinovsky, Dmitry
We revisit existence and stability of two-pulse solutions in the fifth-order Korteweg--de Vries (KdV) equation with two new results. First, we modify the Petviashvili method of successive iterations...
Feshbach Resonance Management of Bose-Einstein Condensates in Optical Lattices (2005)
Porter, Mason A., Chugunova, Marina, Pelinovsky, Dmitry E.
We analyze gap solitons in trapped Bose-Einstein condensates (BECs) in optical lattice potentials under Feshbach resonance management. Starting with an averaged Gross-Pitaevsky (GP) equation with a...