An Elastic Model for Volcanology (eBook)

Andrea Aspri (Autor)

eBook Download: PDF

2019 | 1st ed. 2019
X, 126 Seiten
Springer International Publishing (Verlag)
978-3-030-31475-0 (ISBN)

Infos

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.

Produkt-Details

• Erscheint lt. Verlag: 8.11.2019
• Reihe/Serie: Lecture Notes in Geosystems Mathematics and Computing
• Reihe/Serie: Lecture Notes in Geosystems Mathematics and Computing
• Zusatzinfo: X, 126 p. 7 illus. in color.
• Sprache: englisch
• Themenwelt: Mathematik / Informatik ► Mathematik
• Themenwelt: Naturwissenschaften ► Physik / Astronomie
• 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: 3-030-31475-8 / 3030314758
• ISBN-13: 978-3-030-31475-0 / 9783030314750