Authors:
- 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
Part of the book series: Lecture Notes in Geosystems Mathematics and Computing (LNGMC)
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Table of contents (3 chapters)
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Front Matter
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Back Matter
About this book
Keywords
- Mathematical geophysics
- Mathematical geosciences
- Mathematical geophysics book
- Mathematical modeling geophysics
- Mogi model
- linear elasticity
- magma chamber
- hydrostatic pressure
- Mogi model
- Neumann boundary problem
- Half-space model
- Magma chamber
- Geophysics research math
- Math research volcanoes
- Math magma
- asymptotic expansions
- single and double layer potentials
- neumann function
- stability estimates
- weighted sobolev spaces
Authors and Affiliations
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Austrian Academy of Sciences, Johann Radon Institute for Computational, Linz, Austria
Andrea Aspri
Bibliographic Information
Book Title: An Elastic Model for Volcanology
Authors: Andrea Aspri
Series Title: Lecture Notes in Geosystems Mathematics and Computing
DOI: https://doi.org/10.1007/978-3-030-31475-0
Publisher: Birkhäuser Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Nature Switzerland AG 2019
Softcover ISBN: 978-3-030-31474-3Published: 09 November 2019
eBook ISBN: 978-3-030-31475-0Published: 08 November 2019
Series ISSN: 2730-5996
Series E-ISSN: 2512-3211
Edition Number: 1
Number of Pages: X, 126
Number of Illustrations: 7 illustrations in colour
Topics: Partial Differential Equations, Geophysics/Geodesy, Potential Theory, Mathematical Modeling and Industrial Mathematics