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Lecture Notes in Geosystems Mathematics and Computing
cover

An Elastic Model for Volcanology

Authors: Aspri, Andrea

  • Presents a much-needed mathematical treatment of the linear elastic model to explain deformation effects generated by inflating or deflating magma chambers
  • Proves the well-posedness 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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eBook 51,16 €
price for Spain (gross)
  • The eBook version of this title will be available soon
  • Due: December 22, 2019
  • ISBN 978-3-030-31475-0
  • Digitally watermarked, DRM-free
  • Included format:
  • ebooks can be used on all reading devices
Softcover 62,39 €
price for Spain (gross)
  • Due: December 22, 2019
  • ISBN 978-3-030-31474-3
  • Free shipping for individuals worldwide
  • The final prices may differ from the prices shown due to specifics of VAT rules
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 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.

Buy this book

eBook 51,16 €
price for Spain (gross)
  • The eBook version of this title will be available soon
  • Due: December 22, 2019
  • ISBN 978-3-030-31475-0
  • Digitally watermarked, DRM-free
  • Included format:
  • ebooks can be used on all reading devices
Softcover 62,39 €
price for Spain (gross)
  • Due: December 22, 2019
  • ISBN 978-3-030-31474-3
  • Free shipping for individuals worldwide
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
An Elastic Model for Volcanology
Authors
Series Title
Lecture Notes in Geosystems Mathematics and Computing
Copyright
2019
Publisher
Birkhäuser Basel
Copyright Holder
Springer Nature Switzerland AG
eBook ISBN
978-3-030-31475-0
DOI
10.1007/978-3-030-31475-0
Softcover ISBN
978-3-030-31474-3
Edition Number
1
Number of Pages
X, 129
Number of Illustrations
6 illustrations in colour
Topics