An Elastic Model for Volcanology di Andrea Aspri edito da Springer International Publishing
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An Elastic Model for Volcanology

EAN:

9783030314743

ISBN:

303031474X

Pagine:
136
Formato:
Paperback
Lingua:
Tedesco
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Descrizione An Elastic Model for Volcanology

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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