Displaying similar documents to “Asymptotic behaviour for a phase field model in higher order Sobolev spaces.”

Boundary sentinels in cylindrical domains.

J. Saint Jean Paulin, M. Vanninathan (2001)

Revista Matemática Complutense

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We study a model describing vibrations of a cylindrical domain with thickness e > 0. A characteristic of this model is that it contains pollution terms in the boundary data and missing terms in the initial data. The method of sentinels'' of J. L. Lions [7] is followed to construct a sentinel using the observed vibrations on the boundary. Such a sentinel, by construction, provides information on pollution terms independent of missing terms. This requires resolution of initial-boundary...

On the traces of W(Ω) for a Lipschitz domain.

Ricardo G. Durán, María Amelia Muschietti (2001)

Revista Matemática Complutense

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We extend to the case 1 < p the results obtained by Geymonat and Krasucki for p = 2 on the characterization of the traces of W(Ω) for a bounded Lipschitz domain.

Local Principal Components Analysis.

Tomàs. Aluja Banet, Ramón Nonell Torrent (1991)

Qüestiió

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Principal Components Analysis deals mainly with the analysis of large data sets with multivariate structure in an observational context for exploraty purposes. The factorial planes produced will show the main oppositions between variables and individuals. However, we may be interested in going further by controlling the effect of some latent or third variable which expresses some well-defined phenomenon. We go through this by means of a graph among individuals, following the same idea...

Quadratic systems with a unique finite rest point.

Bartomeu Coll, Armengol Gasull, Jaume Llibre (1988)

Publicacions Matemàtiques

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We study phase portraits of quadratic systems with a unique finite singularity. We prove that there are 111 different phase portraits without limit cycles and that 13 of them are realizable with exactly one limit cycle. In order to finish completely our study two problems remain open: the realization of one topologically possible phase portrait, and to determine the exact number of limit cycles for a subclass of these systems.

Unbounded solutions of positively damped Liénard equations

Changming Ding (1996)

Annales Polonici Mathematici

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This paper discusses the asymptotic behavior of solutions of the Liénard equation, especially the global behavior of unbounded solutions, and also gives a class of sufficient and necessary conditions for the orbit of a solution to intersect the vertical isocline.