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Geometric form of volcanoes with a limited based

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Arjona, Alicia and Díaz Díaz, Jesús Ildefonso and Fernández, J. (2009) Geometric form of volcanoes with a limited based. In XXI Congreso de Ecuaciones Diferenciales y Aplicaciones XI Congreso de Matematica Aplicada. Universidad de Castilla-La Mancha, pp. 1-7.

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Abstract

Many volcanic constructs have geometric different shapes depending on different phenomena as parasitic cones, erosion or coral growth. In Lacey, Ockendon and Turcotte [11] the authors proposed a nonlinear model proving that the shape of volcanoes is determined by the hydraulic resistance to the flow of magma, from a line source, through the porous edifice. This model was later extended in Angevine, Turcotte and Ockendon [2] to include the shape of aseismic, submarine ridges. In this communication we propose a modification of the above mentioned models in order to simulate the more realistic case of volcanoes with a limited base.


Item Type:Book Section
Additional Information:

XXI Congreso de Ecuaciones Diferenciales y Aplicaciones
XI Congreso de Matematica Aplicada, Ciudad Real, 21-25 septiembre 2009

Uncontrolled Keywords:Geometric of volcanoes, limited base, degenerate parabolic equation, bounded free boundary
Subjects:Sciences > Mathematics > Geometry
ID Code:29737
Deposited On:27 Apr 2015 10:27
Last Modified:12 Dec 2018 15:07

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