Arjona, AliciaDíaz Díaz, Jesús IldefonsoFernández Castillo, Jesús2023-06-202023-06-202009https://hdl.handle.net/20.500.14352/45558XXI Congreso de Ecuaciones Diferenciales y Aplicaciones XI Congreso de Matematica Aplicada, Ciudad Real, 21-25 septiembre 2009Many 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.engbook partopen access514Geometric of volcanoeslimited basedegenerate parabolic equationbounded free boundaryGeometría1204 Geometría