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A linear boundary element (BE) model is proposed for the uncoupled simulation of land subsidence due to gas, oil and hot water production over 3-D arbitrarily shaped reservoirs. The present model is based on the theory of the linear poroelasticity and is i ...
In this paper, we prove that if f is a conformal map between two Riemannian surfaces, and if the curvature of the target is nonpositive and less than or equal to the curvature of the source, then the map is contracting. ...
We prove in this paper that evry compact Riemann surface carries an euclidean (flat) conformal metric with precribed conical singularities of given angles, provided the Gauss-Bonnet relation is satisfied. This metric is unique up to homothety. ...
We study the Berger-Nirenberg problem on surfaces with conical singularities, i.e, we discuss conditions under which a function on a Riemann surface is the Gaussian curvature of some conformal metric with a prescribed set of singularities of conical types. ...
