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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.engjournal articlehttp://link.springer.com/article/10.1007%2Fs13398-014-0198-y#page-1http://link.springer.com/restricted access514Geometric of volcanoesLimited baseDegenerate parabolic equationBounded free boundaryGeometría1204 Geometría