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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 . Geophysics/Geodesy . Mathematical Modeling and Industrial Mathematics . Mathematical models . Partial differential equations . Potential Theory . Potential theory (Mathematics) . Authors: Aspri, Andrea . author . Corporate Authors: SpringerLink (Online service) . Series: Lecture Notes in Geosystems Mathematics and Computing . Classification: 515.353 . 515.353 (DDC 23) .

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An Elastic Model for Volcanology

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