{"product_id":"9783030314743","title":"An Elastic Model for Volcanology (Lecture Notes in Geosystems Mathematics and Computing)","description":"\u003cp\u003eThis 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.\u003c\/p\u003e","brand":"Birkh\u0026#228;user","offers":[{"title":"Default Title","offer_id":48820015956203,"sku":"00000_00000_00000_00000","price":100.69,"currency_code":"SGD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0758\/4484\/5803\/files\/9783030314743-1.jpg?v=1781716862","url":"https:\/\/kinokuniya.com.sg\/ja\/products\/9783030314743","provider":"Books Kinokuniya Singapore","version":"1.0","type":"link"}