Displaying similar documents to “The spectrum of the damped wave operator for a bounded domain in ℝ 2 .”

Bloch wave homogenization of linear elasticity system

Sista Sivaji Ganesh, Muthusamy Vanninathan (2005)

ESAIM: Control, Optimisation and Calculus of Variations

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In this article, the homogenization process of periodic structures is analyzed using Bloch waves in the case of system of linear elasticity in three dimensions. The Bloch wave method for homogenization relies on the regularity of the lower Bloch spectrum. For the three dimensional linear elasticity system, the first eigenvalue is degenerate of multiplicity three and hence existence of such a regular Bloch spectrum is not guaranteed. The aim here is to develop all necessary spectral tools...

Nonhermitian systems and pseudospectra

Lloyd N. Trefethen (2005-2006)

Séminaire Équations aux dérivées partielles

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Four applications are outlined of pseudospectra of highly nonnormal linear operators.

A non elliptic spectral problem related to the analysis of superconducting micro-strip lines

Anne-Sophie Bonnet-Bendhia, Karim Ramdani (2002)

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

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This paper is devoted to the spectral analysis of a non elliptic operator A , deriving from the study of superconducting micro-strip lines. Once a sufficient condition for the self-adjointness of operator A has been derived, we determine its continuous spectrum. Then, we show that A is unbounded from below and that it has a sequence of negative eigenvalues tending to - ∞ . Using the Min-Max principle, a characterization of its positive eigenvalues is given. Thanks to this characterization,...