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＜電子ブック＞
An Elastic Model for Volcanology / by Andrea Aspri
(Lecture Notes in Geosystems Mathematics and Computing. ISSN:25123211)

版	1st ed. 2019.
出版者	(Cham : Springer International Publishing : Imprint: Birkhäuser)
出版年	2019
大きさ	X, 126 p. 7 illus. in color : online resource
著者標目	*Aspri, Andrea author SpringerLink (Online service)
件　名	LCSH:Differential equations LCSH:Geophysics LCSH:Potential theory (Mathematics) LCSH:Mathematical models FREE:Differential Equations FREE:Geophysics FREE:Potential Theory FREE:Mathematical Modeling and Industrial Mathematics
一般注記	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 HTTP:URL=https://doi.org/10.1007/978-3-030-31475-0

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