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An Elastic Model for Volcanology

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	An Elastic Model for Volcanology/ by Andrea Aspri.
作者:	Aspri, Andrea.
面頁冊數:	X, 126 p. 7 illus. in color.online resource. :
Contained By:	Springer Nature eBook
標題:	Partial differential equations. -
電子資源:	https://doi.org/10.1007/978-3-030-31475-0
ISBN:	9783030314750

An Elastic Model for Volcanology
Aspri, Andrea.

An Elastic Model for Volcanology[electronic resource] /by Andrea Aspri. - 1st ed. 2019. - X, 126 p. 7 illus. in color.online resource. - Lecture Notes in Geosystems Mathematics and Computing,2730-5996. - 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

Standard No.: 10.1007/978-3-030-31475-0doiSubjects--Topical Terms:

1102982
Partial differential equations.

LC Class. No.: QA370-380

Dewey Class. No.: 515.353

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