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Title: An Elastic Model for Volcanology ([EBook]) / by Andrea Aspri. Dewey Class: 515.353 Author: Aspri, Andrea. author. Edition statement: 1st ed. 2019. Publication: Cham : Birkhäuser, 2019. Other name(s): SpringerLink (Online service) Physical Details: X, 126 pages, 7 illus. in color. : online resource. Series: Lecture Notes in Geosystems Mathematics and Computing ISBN: 9783030314750 System details note: Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users). 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. ------------------------------ *** There are no holdings for this record *** -----------------------------------------------
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