Results 261 to 270 of about 298,127 (271)

Singular singular-perturbation problems

1977
Abstract : Consider initial problems for nonlinear singularly perturbed systems of the form epsilon sub z dot = f(z,t,epsilon) in the singular situation that f sub z(z,t,0) has a nontrivial null space. Under appropriate hypotheses, such problems have asymptotic solutions as epsilon approaches 0 for t or = 0 consisting of the sum of a function of t and ...
R. E. O'Malley, J. E. Flaherty
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Toric Singularities

American Journal of Mathematics, 1994
The aim of the paper is to give a definition of toric singularity in the most general context without referrings neither to the ambient variety of toroidal embeddings nor to a base field or scheme. At first the author recalls the notion of logarithmic structure on a scheme due to Fontaine and Illusie [see the author in: Algebraic Analysis, Geometry ...
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Corner singularities and singular perturbations

ANNALI DELL UNIVERSITA DI FERRARA, 2001
Summary: A corner singularity expansion is developed for a singularly perturbed elliptic boundary value problem. The problem is set in a sector of the plane. In the expansion, particular attention is paid to the singular perturbation parameter. The result is used to give pointwise bounds on derivatives of the solution.
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Phase Singularities to Polarization Singularities

2020
Polarization singularities are superpositions of orbital angular momentum (OAM) states in orthogonal circular polarization basis. The intrinsic OAM of light beams arises due to the helical wavefronts of phase singularities. In phase singularities, circulating phase gradients and, in polarization singularities, circulating ϕ12 Stokes phase gradients are
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Quasirational Singularities

American Journal of Mathematics, 1979
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Rainfall Singularities

Science, 1961
N, Macdonald, F, Ward, N H, Fletcher
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Singular Potentials

Physical Review, 1950
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Naked Singularities

Scientific American, 2009
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Singular Propositions*

2012
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Singular Lightning

Science, 1883
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