Results 281 to 290 of about 64,352 (312)
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Perturbation of Solutions with Moving Singularities
Theoretical and Mathematical Physics, 2001zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On relaxed control and singular solutions
Journal of Optimization Theory and Applications, 1971A relation is shown to exist between relaxed problems and singular control. It is shown that a problem that does not possess an optimal solution, but satisfies some general assumptions, has a singular relaxed solution.
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Singular vacuum solutions as singular matter solutions: Where do spacetime singularities come from?
EPL (Europhysics Letters), 2017A direct evidence for the existence of spacetime singularities is the existence of singularities in vacuum solutions of the Einstein equation. A singular vacuum solution implies that spacetime itself may have singularities. In this paper, we exemplify that a singular vacuum solution can also serve as a non-vacuum solution of the Einstein equation with ...
Wu-Sheng Dai, Yu-Zhu Chen
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Complex singularities in KdV solutions
Ricerche di Matematica, 2016In the small dispersion regime, the KdV solution exhibits rapid oscillations in its spatio-temporal dependence. We show that these oscillations are caused by the presence of complex singularities that approach the real axis. We give a numerical estimate of the asymptotic dynamics of the poles.
GARGANO, Francesco +3 more
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Solution of a singular integral equation
Journal of Engineering Mathematics, 1981A direct method is presented for solving a singular integral equation which is a generalisation of one occurring in viscous flow theory and for which other methods of solution have been described by Brown [1] and Boersma [2].
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1969
Publisher Summary fc (x> y> c) = 0, where f(x, y, c) is the general solution of F(x, y, y') = 0, are called the c-discriminant locus. In general, the general solution f(x, y, c) = 0 might not have an envelope. This happens if the curves have nodes, cusps, or tacs. The p-discriminant contains the envelope, cuspidal locus, and the tac locus.
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Publisher Summary fc (x> y> c) = 0, where f(x, y, c) is the general solution of F(x, y, y') = 0, are called the c-discriminant locus. In general, the general solution f(x, y, c) = 0 might not have an envelope. This happens if the curves have nodes, cusps, or tacs. The p-discriminant contains the envelope, cuspidal locus, and the tac locus.
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C-singular solutions of the capillary problem
Journal für die reine und angewandte Mathematik (Crelles Journal), 1999Summary: The problem of determining the surface interface of fluid partly filling a semi-infinite capillary tube closed at one end is considered, in the absence of gravity. It is known that solutions of the formal equations for a solution as a graph covering the base do not in general exist. In this paper it is shown that whenever smooth solutions fail
Robert Finn, Robert W. Neel
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Singular solutions and the continuous spectrum
The Physics of Fluids, 1981It is generally accepted that the continuous spectrum can be detected by the presence of nonsquare integrable solutions. This is shown to be incorrect as a general principle. A method to determine the singularity of ’’eigenfunctions’’ corresponding to the continuous spectrum is presented.
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Fundamental solutions of singular SPDEs
Chaos, Solitons & Fractals, 2011Abstract This paper deals with some models of mathematical physics, where random fluctuations are modeled by white noise or other singular Gaussian generalized processes. White noise, as the distributional derivative od Brownian motion, which is the most important case of a Levy process, is defined in the framework of Hida distribution spaces.
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The singular solutions to a singular quadratic minimization problem†
International Journal of Control, 1974A number of generalizations of singular quadratic minimization theory for the finite-time case are considered. Also new stability results are derived for the infinite time problem, and novel techniques are introduced to facilitate the derivation of singular solutions for this case.
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