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Asymptotic Separation of Variables

Journal of Mathematical Analysis and Applications, 1993
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Estrada, R., Kanwal, R.P.
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On the Optimal Control Problem for Vibrations of the Rod/String Consisting of Two Non-Homogeneous Sections with the Condition at an Intermediate Time

Mathematics, 2022
We consider an optimal boundary control problem for a one-dimensional wave equation consisting of two non-homogenous segments with piecewise constant characteristics. The wave equation describes the longitudinal vibrations of a non-homogeneous rod or the
Vanya Barseghyan, Svetlana Solodusha
doaj   +1 more source

Separation of Variables [PDF]

Progress of Theoretical Physics Supplement, 1995
33 pages, harvmac, no ...
openaire   +2 more sources

Solutions of the mass continuity equation in hollow fibers for fully developed flow with some notes on the Lévêque correlation

Carbon Capture Science & Technology, 2022
: In this study a historical perspective of the mass continuity equation for fully developed laminar flow in the lumen side of a hollow-fiber membrane contactor is presented with respect to the lumen-wall boundary condition (BC).
Grigorios Pantoleontos, Ioanna Marina Anagnostara, Maria Syrigou, Athanasios G. Konstandopoulos   +3 more
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Inductance of cylindrical coil [PDF]

Serbian Journal of Electrical Engineering, 2004
The cylindrical coreless and bar core coils are used in instrument transformers and many other electromagnetic devices. In the paper, using the separation of variables an analytical formula for the leakage inductance of thin cylindrical coil with ...
Cividjian G.A., Dolan A., Pãduraru N.
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Shape invariance and SUSY separation of variables

EPJ Web of Conferences, 2016
The main ingredients of conventional Supersymmetrical Quantum Mechanics (SUSY QM) are presented. The generalization with supercharges of second order in derivatives - Second Order SUSY - is formulated, and the property of shape invariance is defined. The
Ioffe M.V., Kolevatova E.V., Vereshagin V.   +2 more
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Action-angle variables for the Lie–Poisson Hamiltonian systems associated with the Hirota–Satsuma modified Boussinesq equation

Frontiers in Physics, 2023
In this work, we present two finite-dimensional Lie–Poisson Hamiltonian systems associated with the Hirota–Satsuma modified Boussinesq equation by using the nonlinearization method. Moreover, the separation of variables on the common level set of Casimir
Xue Geng, Dianlou Du, Xianguo Geng
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Operator equations, separation of variables and relativistic alterations

International Journal of Mathematics and Mathematical Sciences, 1995
In this paper, a simple and unified method is developed that predicts the relativistic alterations of physical measures when the behavior of a natural system is characterized by means of a specific operator equation. Separation of variables is the simple
Robert A. Hermann
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Large-signal averaged models of the non-ideal flyback converter derived by the separation of variables [PDF]

Bulletin of the Polish Academy of Sciences: Technical Sciences, 2020
The main topic of the paper is the large signal averaged model of a switch-mode flyback power converter. The use of the large-signal averaged models of switching converters allows for fast simulation of power systems.
W. Janke, M. Bączek, J. Kraśniewski
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Supersymmetrical Separation of Variables in Two-Dimensional Quantum Mechanics

Symmetry, Integrability and Geometry: Methods and Applications, 2010
Two different approaches are formulated to analyze two-dimensional quantum models which are not amenable to standard separation of variables. Both methods are essentially based on supersymmetrical second order intertwining relations and shape invariance -
Mikhail V. Ioffe
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