46 citations · 102 across the 7 of their papers we have counts for
7 papers
On computing the instability index of a non-selfadjoint differential operator associated with coating and rimming flows
Almut Burchard, Marina Chugunova
We study the problem of finding the instability index of certain non-selfadjoint fourth order differential operators that appear as linearizations of coating and rimming flows, whe…
On Factorization of a Perturbation of a J-selfadjoint Operator Arising in Fluid Dynamics
Marina Chugunova, Vladimir Strauss
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 i…
Factorization of the Indefinite Convection-Diffusion Operator
Marina Chugunova, Vladimir Strauss
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 th…
Spectrum of a non-self-adjoint operator associated with the periodic heat equation
Marina Chugunova, Dmitry Pelinovsky
We study the spectrum of the linear operator subject to the periodic boundary conditions on . We prove that the ope…
Two-pulse solutions in the fifth-order KdV equation : rigorous theory and numerical approximations
Marina Chugunova, Dmitry Pelinovsky
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 suc…
Feshbach Resonance Management of Bose-Einstein Condensates in Optical Lattices
Mason A. Porter, Marina Chugunova, Dmitry E. Pelinovsky
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…