| 期刊全稱 | An Elastic Model for Volcanology | | 影響因子2023 | Andrea Aspri | | 視頻video | http://file.papertrans.cn/155/154947/154947.mp4 | | 發(fā)行地址 | Presents a much-needed mathematical treatment of the linear elastic model to explain deformation effects generated by inflating or deflating magma chambers.Proves the well-posedness of the linear elas | | 學(xué)科分類 | Lecture Notes in Geosystems Mathematics and Computing | | 圖書(shū)封面 |  | | 影響因子 | 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. | | Pindex | Book 2019 |
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