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An Elastic Model for Volcanology
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Catalogue Information
Field name
Details
Dewey Class
515.353
Title
An Elastic Model for Volcanology ([EBook]) / by Andrea Aspri.
Author
Aspri, Andrea
Other name(s)
SpringerLink (Online service)
Edition statement
1st ed. 2019.
Publication
Cham : Birkhäuser , 2019.
Physical Details
X, 126 pages, 7 illus. in color. : online resource.
Series
Lecture Notes in Geosystems Mathematics and Computing
ISBN
9783030314750
Summary Note
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.:
Contents note
Preface -- From the physical to the mathematical model -- A scalar model in the half-space -- Analysis of the elastic model -- Index.
System details note
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site
https://doi.org/10.1007/978-3-030-31475-0
Links to Related Works
Subject References:
Geophysics
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Geophysics/Geodesy
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Mathematical Modeling and Industrial Mathematics
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Mathematical models
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Partial differential equations
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Potential Theory
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Potential theory (Mathematics)
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Authors:
Aspri, Andrea
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SpringerLink (Online service)
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Series:
Lecture Notes in Geosystems Mathematics and Computing
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Classification:
515.353
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515.353 (DDC 23)
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