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

Buch 7 von 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
Verlag: Birkhäuser, 2019

Inhaltsangabe

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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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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Verlag
Birkhäuser
Erscheinungsdatum
2019
Sprache
Englisch
ISBN 10 
303031474X
ISBN 13 
9783030314743
Einband
Taschenbuch
Auflage
1
Anzahl der Seiten
136
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