An Elastic Model for Volcanology [[electronic resource] /] / by Andrea Aspri

• Autore: Aspri Andrea
• Pubblicazione: Cham : , : Springer International Publishing : , : Imprint : Birkhäuser, , 2019
• Edizione: 1st ed. 2019.
• Descrizione fisica: 1 online resource (X, 126 p. 7 illus. in color.)
• Disciplina: 515.353
• Soggetto topico: Partial differential equations; Geophysics; Potential theory (Mathematics); Mathematical models; Partial Differential Equations; Geophysics/Geodesy; Potential Theory; Mathematical Modeling and Industrial Mathematics
• Nota di contenuto: Preface -- From the physical to the mathematical model -- A scalar model in the half-space -- Analysis of the elastic model -- Index.
• Sommario/riassunto: 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.
• Titolo autorizzato: Elastic Model for Volcanology
• ISBN: 3-030-31475-8
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910360853503321
• Lo trovi qui: Univ. Federico II
• Serie: Lecture Notes in Geosystems Mathematics and Computing, . 2730-5996