An Elastic Model for Volcanology (Paperback, 1st ed. 2019)

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.

General

Imprint:	Springer Nature Switzerland AG
Country of origin:	Switzerland
Series:	Lecture Notes in Geosystems Mathematics and Computing
Release date:	November 2019
First published:	2019
Authors:	Andrea Aspri
Dimensions:	235 x 155mm (L x W)
Format:	Paperback
Pages:	126
Edition:	1st ed. 2019
ISBN-13:	978-3-03-031474-3
Categories:	Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Differential equations Books > Science & Mathematics > Mathematics > Applied mathematics > Mathematical modelling Books > Science & Mathematics > Mathematics > Applied mathematics > Stochastics Books > Science & Mathematics > Physics > Applied physics & special topics > Geophysics Promotions
LSN:	3-03-031474-X
Barcode:	9783030314743

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