An Elastic Model for Volcanology

• Κύριος συγγραφέας: Aspri, Andrea (Συγγραφέας, http://id.loc.gov/vocabulary/relators/aut)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Birkhäuser, 2019.
• Έκδοση: 1st ed. 2019.
• Σειρά: Lecture Notes in Geosystems Mathematics and Computing
• Θέματα: Partial differential equations.; Geophysics.; Potential theory (Mathematics).; Mathematical models.; Partial Differential Equations.; Geophysics/Geodesy.; Potential Theory.; Mathematical Modeling and Industrial Mathematics.

 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. 

 Preface -- From the physical to the mathematical model -- A scalar model in the half-space -- Analysis of the elastic model -- Index.