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Record Nr. |
UNINA9910360853503321 |
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Autore |
Aspri Andrea |
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Titolo |
An Elastic Model for Volcanology / / by Andrea Aspri |
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Pubbl/distr/stampa |
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Cham : , : Springer International Publishing : , : Imprint : Birkhäuser, , 2019 |
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ISBN |
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Edizione |
[1st ed. 2019.] |
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Descrizione fisica |
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1 online resource (X, 126 p. 7 illus. in color.) |
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Collana |
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Lecture Notes in Geosystems Mathematics and Computing, , 2730-5996 |
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Disciplina |
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Soggetti |
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Partial differential equations |
Geophysics |
Potential theory (Mathematics) |
Mathematical models |
Partial Differential Equations |
Geophysics/Geodesy |
Potential Theory |
Mathematical Modeling and Industrial Mathematics |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Nota di contenuto |
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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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Sommario/riassunto |
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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 |
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particular interest to mathematicians researching inverse problems, as well as geophysicists studying volcanology. |
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