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An Elastic Model for Volcanology

Af: Andrea Aspri Engelsk Paperback

An Elastic Model for Volcanology

Af: Andrea Aspri Engelsk Paperback
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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 particular interest to mathematicians researching inverse problems, as well as geophysicists studying volcanology.
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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 particular interest to mathematicians researching inverse problems, as well as geophysicists studying volcanology.
Produktdetaljer
Sprog: Engelsk
Sider: 126
ISBN-13: 9783030314743
Indbinding: Paperback
Udgave:
ISBN-10: 303031474X
Udg. Dato: 9 nov 2019
Længde: 0mm
Bredde: 155mm
Højde: 235mm
Forlag: Springer Nature Switzerland AG
Oplagsdato: 9 nov 2019
Forfatter(e): Andrea Aspri
Forfatter(e) Andrea Aspri


Kategori Differentialregning & ligninger


ISBN-13 9783030314743


Sprog Engelsk


Indbinding Paperback


Sider 126


Udgave


Længde 0mm


Bredde 155mm


Højde 235mm


Udg. Dato 9 nov 2019


Oplagsdato 9 nov 2019


Forlag Springer Nature Switzerland AG

Kategori sammenhænge