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An Elastic Model for Volcanology (Lecture Notes in Geosystems Mathematics and Computing) - Softcover

Book 7 of 8: Lecture Notes in Geosystems Mathematics and Computing

Aspri, Andrea

 
9783030314743: An Elastic Model for Volcanology (Lecture Notes in Geosystems Mathematics and Computing)
Softcover
ISBN 10: 303031474X ISBN 13: 9783030314743
Publisher: Birkhäuser, 2019

Synopsis

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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From the Back Cover

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.

"About this title" may belong to another edition of this title.

Publisher
Birkhäuser
Publication date
2019
Language
English
ISBN 10 
303031474X
ISBN 13 
9783030314743
Binding
Paperback
Edition number
1
Number of pages
136