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Andrea Aspri 
An Elastic Model for Volcanology 

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This monograph presents a rigorous mathematical framework for a linear elastic model arising from volcanology that explains deformation effects generated by inflating or deflating magma chambers in the Earth’s interior. From a mathematical perspective, these modeling assumptions manifest as a boundary value problem that has long been known by researchers in volcanology, but has not, until now, been given a thorough mathematical treatment. This mathematical study gives an explicit formula for the solution of the boundary value problem which generalizes the few well-known, explicit solutions found in geophysics literature. Using two distinct analytical approaches—one involving weighted Sobolev spaces, and the other using single and double layer potentials—the well-posedness of the elastic model is proven.
An Elastic Model for Volcanology will be of particular interest to mathematicians researching inverse problems, as well as geophysicists studying volcanology.
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Table des matières

Preface.- From the physical to the mathematical model.- A scalar model in the half-space.- Analysis of the elastic model.- Index.
Langue Anglais ● Format PDF ● Pages 126 ● ISBN 9783030314750 ● Taille du fichier 1.6 MB ● Maison d’édition Springer International Publishing ● Lieu Cham ● Pays CH ● Publié 2019 ● Téléchargeable 24 mois ● Devise EUR ● ID 7259270 ● Protection contre la copie DRM sociale

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