Geometrical evolution of volcanoes: a theoretical approach



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Díaz Díaz, Jesús Ildefonso and Arjona, Alicia (2014) Geometrical evolution of volcanoes: a theoretical approach. Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A. Matematicas . ISSN 1578-7303

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Shape ofmany volcanic edifices depend on different phenomena, such as parasitic cones, erosion or coral growth. A nonlinear model proposed in 1981 proves that the shape of volcanoes is determined by the hydraulic resistance to the flow of magma, along a line, through the porous edifice. This model was later extended to include the shape of aseismic and submarine ridges. In this paperwe propose a modification of the above mentionedmodels in order to simulate the more realistic case of volcanoes growth assuming they have a limited base. We present the 3D extension and a generalization of the model. We formulate a new model including the case of a possible outpointing flow.

Item Type:Article
Uncontrolled Keywords:Geometric of volcanoes; Limited base; Degenerate parabolic equation; Bounded free boundary
Subjects:Sciences > Mathematics > Geometry
ID Code:29114
Deposited On:10 Mar 2015 10:08
Last Modified:12 Dec 2018 15:06

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