An Elastic Model for Volcanology
Authors: Aspri, Andrea
 Presents a muchneeded mathematical treatment of the linear elastic model to explain deformation effects generated by inflating or deflating magma chambers
 Proves the wellposedness of the linear elastic model using two distinct analytical approaches
 Generalizes existing mathematical models of magma chambers to cavities of generic shape
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 About this book

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 wellknown, 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 wellposedness 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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Bibliographic Information
 Bibliographic Information

 Book Title
 An Elastic Model for Volcanology
 Authors

 Andrea Aspri
 Series Title
 Lecture Notes in Geosystems Mathematics and Computing
 Copyright
 2019
 Publisher
 Birkhäuser Basel
 Copyright Holder
 Springer Nature Switzerland AG
 eBook ISBN
 9783030314750
 DOI
 10.1007/9783030314750
 Softcover ISBN
 9783030314743
 Edition Number
 1
 Number of Pages
 X, 129
 Number of Illustrations
 6 illustrations in colour
 Topics