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101 0 $aeng
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200 13$aAn Elastic Model for Volcanology$b[electronic resource] /$fby Andrea Aspri
205   $a1st ed. 2019.
210  1$aCham :$cSpringer International Publishing :$cImprint: Birkhäuser,$d2019.
215   $a1 online resource (X, 126 p. 7 illus. in color.)
225 1 $aLecture Notes in Geosystems Mathematics and Computing,$x2730-5996
311   $a3-030-31474-X 
327   $aPreface -- From the physical to the mathematical model -- A scalar model in the half-space -- Analysis of the elastic model -- Index.
330   $aThis monograph presents a rigorous mathematical framework for a linear elastic model arising from volcanology that explains deformation effects generated by inflating or deflating magma chambers in the Earth?s interior. From a mathematical perspective, these modeling assumptions manifest as a boundary value problem that has long been known by researchers in volcanology, but has not, until now, been given a thorough mathematical treatment. This mathematical study gives an explicit formula for the solution of the boundary value problem which generalizes the few well-known, explicit solutions found in geophysics literature. Using two distinct analytical approaches?one involving weighted Sobolev spaces, and the other using single and double layer potentials?the well-posedness of the elastic model is proven. An Elastic Model for Volcanology will be of particular interest to mathematicians researching inverse problems, as well as geophysicists studying volcanology.
410  0$aLecture Notes in Geosystems Mathematics and Computing,$x2730-5996
606   $aPartial differential equations
606   $aGeophysics
606   $aPotential theory (Mathematics)
606   $aMathematical models
606   $aPartial Differential Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12155
606   $aGeophysics/Geodesy$3https://scigraph.springernature.com/ontologies/product-market-codes/G18009
606   $aPotential Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/M12163
606   $aMathematical Modeling and Industrial Mathematics$3https://scigraph.springernature.com/ontologies/product-market-codes/M14068
615  0$aPartial differential equations.
615  0$aGeophysics.
615  0$aPotential theory (Mathematics).
615  0$aMathematical models.
615 14$aPartial Differential Equations.
615 24$aGeophysics/Geodesy.
615 24$aPotential Theory.
615 24$aMathematical Modeling and Industrial Mathematics.
676   $a515.353
700   $aAspri$b Andrea$4aut$4http://id.loc.gov/vocabulary/relators/aut$0780978
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906   $aBOOK
912   $a9910360853503321
996   $aElastic Model for Volcanology$91668138
997   $aUNINA