Stability of solutions of an equation arising in hydromechanics

We study the strong stability of the equation describing small oscillations of an elastic pipe conveying an ideal fluid. We prove the existence and uniqueness theorem for the generalized solution and find sufficient conditions for strong stability in the case of a pulsing fluid. Translated fromMatematicheskie Zametki, Vol. 67, No. 1, pp. 15–24, January, 2000.     

The Coherent Production of the (K +π0) System by K + Beam on Copper Nuclei at the OKA Setup

Journal of Experimental and Theoretical Physics - On the statistics of ~1.7 × 108 interactions of positively charged kaons on copper nuclei, coherent events of the K+π0 system production...     

Axial Distribution of the Ion Mass-to-Charge State in a Magnetron Discharge Plasma

Russian Physics Journal - The axial distribution of the ion mass-to-charge state in planar magnetron plasma has been studied. Copper is used as a target material, and argon was used as an operating...     

(e,2e) electron spectroscopy of surfaces

Received: 21 March 1997/Accepted 12 August 1997     

Projective metabelianD-groups and Lie superalbegras

The main result of this paper shows that the projective objects in varieties of metabelian R-groups and Lie superalgebras are free. A D-group is a group in which for any element x and any natural number n there exists a unique element y such that x=yⁿ. A Lie superalgebra (resp. D-group) is metabelian if it is an extension of an abelian superalgebra (resp. D-group) by an abelian superalgebra (resp. D-group). The proof of the main result relies on the representation of projective superalgebras (resp. D-groups) in projective modules over rings that are nearly polynomial rings. Bibliography: 17 titles.Translated fromTrudy Seminara imeni I. G. Petrovskogo, No. 15, pp. 189–195.     

Multiwell potentials of endohedral complexes of icosahedral symmetry

We examine multiwell potentials that correspond to the displacements of off-center ions in complexes with icosahedral symmetry (dodecahedrons, icosahedrons, fullerenes, etc.) along symmetry directions (toward vertices, midpoints of edges, and centers of faces). An expression is derived for an effective Hamiltonian, which describes the behavior of endohedral complexes with off-center ions placed in external electric fields of arbitrary strength and orientation. We find the eigenvalues of this Hamiltonian and calculate the intensities of the lines of all possible transitions between tunneling levels. We also predict and analyze the spectra of paraelectric resonances in the absence of an external static electric field (zero-field resonances) and in the presence of such a field. Finally, we provide recommendations for detecting these effects and discuss the specific features of the effects and the possibility of studying them. Zh. éksp. Teor. Fiz. 114, 222–238 (July 1998)