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Correctors and field fluctuations for the pϵ(x)-laplacian with rough exponents : The sublinear growth case

Silvia Jimenez (2013)

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

A corrector theory for the strong approximation of gradient fields inside periodic composites made from two materials with different power law behavior is provided. Each material component has a distinctly different exponent appearing in the constitutive law relating gradient to flux. The correctors are used to develop bounds on the local singularity strength for gradient fields inside micro-structured media. The bounds are multi-scale in nature and can be used to measure the amplification of applied...

Costruzione di spike-layers multidimensionali

Andrea Malchiodi (2005)

Bollettino dell'Unione Matematica Italiana

Si studiano soluzioni positive dell’equazione - ϵ 2 Δ u + u = u p in Ω , dove Ω R n , p > 1 ed ϵ è un piccolo parametro positivo. Si impongono in genere condizioni al bordo di Neumann. Quando ϵ tende a zero, dimostriamo esistenza di soluzioni che si concentrano su curve o varietà.

Couches limites semilinéaires

Franck Sueur (2006)

Annales de la faculté des sciences de Toulouse Mathématiques

On s’intéresse à des problèmes mixtes pour des systèmes symétriques hyperboliques multidimensionnels semilinéaires perturbés par une petite viscosité. La description à la limite non visqueuse recquiert des développements du type BKW mettant en évidence une couche limite caractéristique (CLC) et une couche limite non caractéristique (CLNC). Ce thème traité dans [12] est ici enrichi de trois améliorations :l’étude inclut des développements ayant peu de termes (comme un seul terme),on étudie aussi...

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