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An elastic model for volcanology
~
Aspri, Andrea.
An elastic model for volcanology
Record Type:
Electronic resources : Monograph/item
Title/Author:
An elastic model for volcanologyby Andrea Aspri.
Author:
Aspri, Andrea.
Published:
Cham :Springer International Publishing :2019.
Description:
x, 126 p. :ill., digital ;24 cm.
Contained By:
Springer eBooks
Subject:
VolcanologyMathematical models.
Online resource:
https://doi.org/10.1007/978-3-030-31475-0
ISBN:
9783030314750$q(electronic bk.)
An elastic model for volcanology
Aspri, Andrea.
An elastic model for volcanology
[electronic resource] /by Andrea Aspri. - Cham :Springer International Publishing :2019. - x, 126 p. :ill., digital ;24 cm. - Lecture notes in geosystems mathematics and computing. - Lecture notes in geosystems mathematics and computing..
Preface -- From the physical to the mathematical model -- A scalar model in the half-space -- Analysis of the elastic model -- Index.
This monograph presents a rigorous mathematical framework for a linear elastic model arising from volcanology that explains deformation effects generated by inflating or deflating magma chambers in the Earth's interior. From a mathematical perspective, these modeling assumptions manifest as a boundary value problem that has long been known by researchers in volcanology, but has not, until now, been given a thorough mathematical treatment. This mathematical study gives an explicit formula for the solution of the boundary value problem which generalizes the few well-known, explicit solutions found in geophysics literature. Using two distinct analytical approaches-one involving weighted Sobolev spaces, and the other using single and double layer potentials-the well-posedness of the elastic model is proven. An Elastic Model for Volcanology will be of particular interest to mathematicians researching inverse problems, as well as geophysicists studying volcanology.
ISBN: 9783030314750$q(electronic bk.)
Standard No.: 10.1007/978-3-030-31475-0doiSubjects--Topical Terms:
855744
Volcanology
--Mathematical models.
LC Class. No.: QE522 / .A76 2019
Dewey Class. No.: 551.21
An elastic model for volcanology
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Preface -- From the physical to the mathematical model -- A scalar model in the half-space -- Analysis of the elastic model -- Index.
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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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EB QE522 .A843 2019 2019
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https://doi.org/10.1007/978-3-030-31475-0
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