Titlebook: Asymptotics beyond All Orders; Harvey Segur,Saleh Tanveer,Herbert Levine Book 1991 Springer Science+Business Media New York 1991 Renormali

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https://doi.org/10.1007/978-1-4302-0327-8 needle solutions. Our earlier paper [2] proved that needle solutions could not exist for . 0. Kruskal and Segur [1] concluded that, for sufficiently small 6, needle solutions would exist for certain discrete values of . = α(k) > 0. Thus we have an eigenvalue problem with a discrete spectrum. Our an

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Moral Categoriality & Moral Being,ously had been assumed. In particular, we find numerically that the range of unstable “wavenumbers” is bounded away from zero; i.e., sufficiently low wavenumbers are stable. Moreover, our preliminary calculations show parabolae, characterised by Peclet numbers of order 1, for which the linear instab

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A New Formulation for Dendritic Crystal Growth in two Dimensionsously had been assumed. In particular, we find numerically that the range of unstable “wavenumbers” is bounded away from zero; i.e., sufficiently low wavenumbers are stable. Moreover, our preliminary calculations show parabolae, characterised by Peclet numbers of order 1, for which the linear instab

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Computation of Transcendental Effects in Growth Problems: Linear Solvability Conditions and Nonlineatiplies a term that contains the highest number of derivatives. This realization. has made possible the analysis of several problems, including the velocity selection for a parabolic needle crystal moving in an undercooled melt. and the shape selection of viscous fingers moving in a linear Hele-Shaw