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Autore: | Aspri Andrea |
Titolo: | An Elastic Model for Volcanology / / by Andrea Aspri |
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 |
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