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An Elastic Model for Volcanology (Lecture Notes in Geosystems Mathematics and Computing) - Tapa blanda

Libro 7 de 8: Lecture Notes in Geosystems Mathematics and Computing

Aspri, Andrea

 
9783030314743: An Elastic Model for Volcanology (Lecture Notes in Geosystems Mathematics and Computing)
Tapa blanda
ISBN 10: 303031474X ISBN 13: 9783030314743
Editorial: Birkhäuser, 2019

Sinopsis

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.

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De la contraportada

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.

"Sobre este título" puede pertenecer a otra edición de este libro.

Editorial
Birkhäuser
Año de publicación
2019
Idioma
Inglés
ISBN 10 
303031474X
ISBN 13 
9783030314743
Encuadernación
Tapa blanda
Número de edición
1
Número de páginas
126
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