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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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245 1 3 $a An elastic model for volcanology $h [electronic resource] / $c by Andrea Aspri.
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490 1 $a Lecture notes in geosystems mathematics and computing
505 0 $a Preface -- From the physical to the mathematical model -- A scalar model in the half-space -- Analysis of the elastic model -- Index.
520 $a 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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