Results 241 to 250 of about 543,335 (289)

Intrinsic geometry of Lax equation

Journal of Interdisciplinary Mathematics, 2003
Abstract In this paper we discuss the intrinsic geometry of Lax equations and we derive the frame Lax equations in a non coordinate (non-holonomic) basis.
C. CATTANI, LASERRA, Ettore
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Amplification of intrinsic fluctuations by the Lorenz equations

Chaos: An Interdisciplinary Journal of Nonlinear Science, 1993
Macroscopic systems (e.g., hydrodynamics, chemical reactions, electrical circuits, etc.) manifest intrinsic fluctuations of molecular and thermal origin. When the macroscopic dynamics is deterministically chaotic, the intrinsic fluctuations may become amplified by several orders of magnitude. Numerical studies of this phenomenon are presented in detail
Fox, Ronald F., Elston, T. C.
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Intrinsic geometry of curves and the Bonnor’s equation

Proceedings of the Indian Academy of Sciences - Section A, 1997
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
López-Bonilla, J. L., Ovando Zúñiga, G. A., Rivera-Rebolledo, J. M.   +2 more
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Prologue: The intrinsic Fokker-Planck equation

1980
Examination of equation (3.10) leads us to an interesting conclusion about the classes of FPE (3.1) with non singular diffusion that will represent exactly the same physical content in spite of the fact that they may be written in terms of quite different drifts fν (q) and diffusion tensor D µν (q), related among themselves by general gross variables ...
L. Garrido, J. Llosa
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Intrinsic variational equations in three dimensions

Celestial Mechanics, 1981
The variational equations along an orbit in a conservative dynamic system with three degrees of freedom may be separated into (i) a linear system of order four involving only the normal and binormal displacements and (ii) a quadrature to produce the tangential displacement.
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Intrinsic equations of rotational gas flows

Israel Journal of Mathematics, 1967
Considering a vortex line as aC 3 curve inE 3, equations governing the flow of a steady, compressible gas are expressed in the intrinsic form. These intrinsic relations are applied to derive some geometric properties of rotational motions, and to study a class of flows whose vortex lines form a family of helices on right circular cylinders.
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Intrinsic and invariant equations for cosmic string

Il Nuovo Cimento B Series 11, 1994
Taking into account a new definition of the string, the intrinsic and invariant equations verified by the fields are found. Those, quite simple, equations are invariant with respect to the explicit form of the initial Lagrangian.
B. Leauté, G. Marcilhacy, T. Melliti
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An algorithm that translates intrinsic equations of curves into intrinsic procedures

International Journal of Mathematical Education in Science and Technology, 1999
The paper describes an algorithm which translates each intrinsic equation of a curve into an intrinsic turtle procedure to draw the same curve. This algorithm inputs an intrinsic equation (or function) of a plane curve of the type ρ = ρ (φ) (where rho is the curvature-radius and φ is the tangent-angle).
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Intrinsic characterisation of orthogonal R separation for Laplace equations

Journal of Physics A: Mathematical and General, 1982
Gives a coordinate-free characterisation of R separation for the Laplace equation on a pseudo-Riemannian manifold in terms of commuting conformal symmetry operators. The coordinates can be computed from a knowledge of the operators.
Kalnins, E. G., Miller, W. jun.
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Intrinsic Equations of Steady Rotating, Incompressible Viscous Fluid Flow

ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 1975
AbstractThe equations governing the flow of a steady rotating incompressible viscous fluid are expressed in intrinsic form along the vortex lines and their normals. Using these equations the effects of rotation on the geometric properties of viscous fluid flows are studied.
Gopalakrishna, AV, Rao, AR
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