Results 21 to 30 of about 166,676,583 (294)
Spectral measures and separation of variables
, 1976 This article gives an expression for the spectral measure corresponding to a self-adjoint operator for which separation of variables is possible. The construction makes use of the amalgamation theorem for normal operators in a natural way to obtain the ...
Fox, David W.
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Flow Separation in Rocket Nozzles, a Simple Criteria [PDF]
, 2005 Cold and hot flow tests were conducted to investigate the flow separation in rocket nozzles. The results are presented. A separation data base including a wide range of literature data is established to evaluate the influence of propellant combination ...
Ralf Stark, Stark, Ralf
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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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Electronic Journal of Qualitative Theory of Differential Equations, 2019 Stieltjes differential equations, i.e. differential equations with usual derivatives replaced by derivatives with respect to given functions (derivators), are useful to model processes which exhibit dead times and/or sudden changes.
Rodrigo López Pouso +1 more
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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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New Variables of Separation for the Steklov-Lyapunov System
Symmetry, Integrability and Geometry: Methods and Applications, 2012 A rigid body in an ideal fluid is an important example of Hamiltonian systems on a dual to the semidirect product Lie algebra e(3)=so(3)⋉R^3. We present the bi-Hamiltonian structure and the corresponding variables of separation on this phase space for ...
Andrey V. Tsiganov
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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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Synthesis, as Opposed to Separation, of Variables [PDF]
SIAM Review, 2012 Every applied mathematician has used separation of variables. For a given boundary value problem (BVP) in two dimensions, the starting point of this powerful method is the separation of the given PDE into two ODEs. If the spectral analysis of either of these ODEs yields an appropriate transform pair, i.e., a transform consistent with the given boundary
Athanassios S. Fokas, Euan A. Spence
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Product solutions and separation of variables
, 1972 This paper consists of two independent notes, whose common features are (a) their concern with "product-form" functions and (b) their use of an abstract-algebra setting to isolate the essential features of the problems treated.
Goldman, A. J.
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Separation of Variables for the Ruijsenaars System [PDF]
Communications in Mathematical Physics, 1997 We construct a separation of variables for the classical n-particle Ruijsenaars system (the relativistic analog of the elliptic Calogero-Moser system). The separated coordinates appear as the poles of the properly normalised eigenvector (Baker-Akhiezer function) of the corresponding Lax matrix.
Kuznetsov, V. B. +2 more
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