03426nam 22006135 450 991036085350332120220201000835.03-030-31475-810.1007/978-3-030-31475-0(CKB)4100000009836106(DE-He213)978-3-030-31475-0(MiAaPQ)EBC5975927(PPN)242824927(EXLCZ)99410000000983610620191108d2019 u| 0engurnn#008mamaatxtrdacontentcrdamediacrrdacarrierAn Elastic Model for Volcanology /by Andrea Aspri1st ed. 2019.Cham :Springer International Publishing :Imprint: Birkhäuser,2019.1 online resource (X, 126 p. 7 illus. in color.)Lecture Notes in Geosystems Mathematics and Computing,2730-59963-030-31474-X 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.Lecture Notes in Geosystems Mathematics and Computing,2730-5996Partial differential equationsGeophysicsPotential theory (Mathematics)Mathematical modelsPartial Differential Equationshttps://scigraph.springernature.com/ontologies/product-market-codes/M12155Geophysics/Geodesyhttps://scigraph.springernature.com/ontologies/product-market-codes/G18009Potential Theoryhttps://scigraph.springernature.com/ontologies/product-market-codes/M12163Mathematical Modeling and Industrial Mathematicshttps://scigraph.springernature.com/ontologies/product-market-codes/M14068Partial differential equations.Geophysics.Potential theory (Mathematics).Mathematical models.Partial Differential Equations.Geophysics/Geodesy.Potential Theory.Mathematical Modeling and Industrial Mathematics.515.353Aspri Andreaauthttp://id.loc.gov/vocabulary/relators/aut780978MiAaPQMiAaPQMiAaPQBOOK9910360853503321Elastic Model for Volcanology1668138UNINA