An Elastic Model for Volcanology

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.

Sommario

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

Dettagli sul prodotto

• Autori: Andrea Aspri
• Editore: Springer, Berlin
• Lingue: Inglese
• Formato: Tascabile
• Pubblicazione: 01.01.2019
• EAN: 9783030314743
• ISBN: 978-3-0-3031474-3
• Pagine: 126
• Dimensioni: 155 mm x 238 mm x 8 mm
• Peso: 220 g
• Illustrazioni: X, 126 p. 7 illus. in color.
• Serie: Lecture Notes in Geosystems Mathematics and Computing; Lecture Notes in Geosystems Mathematics and Computing
• Categoria: Scienze naturali, medicina, informatica, tecnica > Matematica > Analisi