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Díaz Díaz, Jesús Ildefonso ; Tello del Castillo, José Ignacio | Amsterdam Elsevier Science 2000 | 2003-03We study a model of growth of tumors with a free boundary delaying the tumor region. We take into account the presence of inhibitors and its interaction with the nutrients. We study the approximate controllability of the internal distribution of[...]texto impreso
We analyze the sensitivity of a climatological model with respect to small changes in one of the distinguished parameters: the solar constant. We start by proving the stabilization of solutions of the evolution model when time tends to infinity.[...]texto impreso
We present some recent results on the mathematical study of a global two-dimensional stationary climate model. We prove the multiplicity of solutions for some values of a solar parameter. Then, we obtain a S-shaped bifurcation branch.texto impreso
We study the regularity of the solution to the Reynolds equation for incompressible and compressible fluids when the gap between the lubricated surfaces, “h(x,y)”, presents a discontinuity in a two-dimensional bounded domain. As in the one-dimen[...]texto impreso
Díaz Díaz, Jesús Ildefonso ; Arcoya Álvarez, David ; Tello del Castillo, José Ignacio | Elsevier | 1998-11-20In this paper we show the existence of a continuous and unbounded connected S-shaped set {(Q, u)} where Q is the solar constant and u satisfies a quasilinear eventually multivalued stationary equation on a Riemannian manifold without boundary ar[...]texto impreso
In this paper we consider a nonlinear system of differential equations consisting of one parabolic equation and one ordinary differential equation. The system arises in chemotaxis, a process whereby living organisms respond to chemical substance[...]texto impreso
In this paper we study a nonlinear system of differential equations which arises from a stationary two-dimensional Ice-Sheet Model describing the ice-streaming phenomenon. The system consists of a multivalued nonlinear PDE of parabolic type coup[...]
