Analytic continuation of mayer and virial expansionsSpringer Science and Business Media LLC - Tập 92 - Trang 791-798 - 1992
G. I. Kalmykov
Functions that under certain assumptions are analytic continuations of Mayer expansions are found. It is shown that there exists a positive numberρ
1 satisfying the following conditions: 1) for any interval of the form [0,ρ
1(1−ε)], where 0<ɛ<1, there exists a region containing this interval in which there is defined a single-valued analytic single-sheeted function that is the inverse with respect...... hiện toàn bộ
Nonequilibrium statistical operator in the generalized molecular hydrodynamics of fluidsSpringer Science and Business Media LLC - Tập 154 - Trang 75-84 - 2008
B. B. Markiv, I. P. Omelyan, M. V. Tokarchuk
We discuss the important role of the Zubarev nonequilibrium statistical operator method in the generalized molecular hydrodynamics of fluids. Using this method allows developing a consistent approach of generalized collective excitations for simple, ion, polar, magnetic, and some other fluids. We construct a nonequilibrium statistical operator and derive the corresponding transport equations for a...... hiện toàn bộ
Darboux-integrable discrete systemsSpringer Science and Business Media LLC - Tập 156 - Trang 1142-1153 - 2008
V. L. Vereshchagin
We extend Laplace’s cascade method to systems of discrete “hyperbolic” equations of the form ui+1,j+1
= f(ui+1,j, ui,j+1
, ui,j), where uij is a member of a sequence of unknown vectors, i, j ∊ ℤ. We introduce the notion of a generalized Laplace invariant and the associated property of the system being “Liouville.” We prove several statements on the ...... hiện toàn bộ
Exact Relativistic Treatment of Stationary Counter-Rotating Dust Disks: Axis, Disk, and Limiting CasesSpringer Science and Business Media LLC - Tập 127 Số 3 - Trang 767-778 - 2001
Klein, C.
We continue to study the construction of explicit solutions of the stationary axisymmetric Einstein equations, interpretable as counterrotating disks of dust. We discuss the previously constructed class of solutions for disks with constant angular velocity and constant relative density. The metric for these space–times is given in terms of theta functions on a Riemann surface of genus two. We disc...... hiện toàn bộ