965 resultados para Asymptotic Formula


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A horizontal fluid layer heated from below in the presence of a vertical magnetic field is considered. A simple asymptotic analysis is presented which demonstrates that a convection mode attached to the side walls of the layer sets in at Rayleigh numbers much below those required for the onset of convection in the bulk of the layer. The analysis complements an earlier analysis by Houchens [J. Fluid Mech. 469, 189 (2002)] which derived expressions for the critical Rayleigh number for the onset of convection in a vertical cylinder with an axial magnetic field in the cases of two aspect ratios. © 2008 American Institute of Physics.

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DUE TO COPYRIGHT RESTRICTIONS ONLY AVAILABLE FOR CONSULTATION AT ASTON UNIVERSITY LIBRARY AND INFORMATION SERVICES WITH PRIOR ARRANGEMENT

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Orimulsion400 is a new generation of the Orimulsion formula. This new generation is a more environmentally friendly, cost-effective energy source. This article describes the product's evolution as well as test results from diverse power plants.

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This work was presented in part at the 8th International Conference on Finite Fields and Applications Fq^8 , Melbourne, Australia, 9-13 July, 2007.

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This project was partially supported by RFBR, grants 99-01-00233, 98-01-01020 and 00-15-96128.

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An expansion formula for fractional derivatives given as in form of a series involving function and moments of its k-th derivative is derived. The convergence of the series is proved and an estimate of the reminder is given. The form of the fractional derivative given here is especially suitable in deriving restrictions, in a form of internal variable theory, following from the second law of thermodynamics, when applied to linear viscoelasticity of fractional derivative type.

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2000 Mathematics Subject Classification: 35J05, 35C15, 44P05

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2000 Mathematics Subject Classification: 26A33, 42B20

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Mathematics Subject Classification: 45G10, 45M99, 47H09

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Mathematics Subject Classification 2010: 42C40, 44A12.

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2000 Mathematics Subject Classification: 60J80.

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Л. И. Каранджулов, Н. Д. Сиракова - В работата се прилага методът на Поанкаре за решаване на почти регулярни нелинейни гранични задачи при общи гранични условия. Предполага се, че диференциалната система съдържа сингулярна функция по отношение на малкия параметър. При определени условия се доказва асимптотичност на решението на поставената задача.

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AMS subject classification: 60J80, 62F12, 62P10.

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2000 Mathematics Subject Classification: 60J80.

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2000 Mathematics Subject Classification: 60H30, 35K55, 35K57, 35B35.