An Elastic Model for Volcanology(Lecture Notes in Geosystems Mathematics and Computing)

火山学弹性模型

数学史

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317.5
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平台大促 低至8折优惠
发货周期:预计8-10周发货
作      者
出版时间
2019年09月11日
装      帧
平装
ISBN
9783030314743
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页      码
126
语      种
英文
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图书简介
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.
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