An elastic model for volcanology

• 作者： Aspri, Andrea, author.
• 其他作者：
  • SpringerLink (Online service)
• 其他題名：
  • Lecture notes in geosystems mathematics and computing.
• 出版： Cham : Springer International Publishing :Imprint: Birkhauser
• 叢書名： Lecture notes in geosystems mathematics and computing
• 主題： Volcanology--Mathematical models. , Partial Differential Equations. , Geophysics/Geodesy. , Potential Theory. , Mathematical Modeling and Industrial Mathematics.
• ISBN： 9783030314750 (electronic bk.) 、 9783030314743 (paper)
• FIND@SFXID: CGU
• 資料類型: 電子書
• 內容註: Preface -- From the physical to the mathematical model -- A scalar model in the half-space -- Analysis of the elastic model -- Index.
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• 摘要註: 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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