An Elastic Model for Volcanology

Andrea Aspri (Autor)

Buch | Softcover

X, 126 Seiten

2019 | 1st ed. 2019
Springer International Publishing (Verlag)
978-3-030-31474-3 (ISBN)

Artikel merken

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.

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

Erscheinungsdatum	10.11.2019
Reihe/Serie	Lecture Notes in Geosystems Mathematics and Computing
Zusatzinfo	X, 126 p. 7 illus. in color.
Verlagsort	Cham
Sprache	englisch
Maße	155 x 235 mm
Gewicht	221 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
Schlagworte	asymptotic expansions • Geophysics research math • Half-space model • hydrostatic pressure • linear elasticity • Magma Chamber • Mathematical geophysics • Mathematical geophysics book • Mathematical geosciences • Mathematical modeling geophysics • Math magma • Math research volcanoes • Mogi model • Neumann boundary problem • neumann function • single and double layer potentials • stability estimates • weighted Sobolev spaces
ISBN-10	3-030-31474-X / 303031474X
ISBN-13	978-3-030-31474-3 / 9783030314743
Zustand	Neuware