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In this paper we analyze the long time behavior of a phase field model by showing the existence of global compact attractors in the strong norm of high order Sobolev spaces.texto impreso
We analyze the asymptotic behavior of the attractors of a parabolic problem when some reaction and potential terms are concentrated in a neighborhood of a portion Gamma of the boundary and this neighborhood shrinks to Gamma as a parameter epsilo[...]texto impreso
En esta memoria se estudian dos modelos diferentes de sistemas dinámicos en dimensión infinita, representados por dos sistemas acoplados de ecuaciones en derivadas parciales semilineales.el primer modelo denominado "modelos de campos de fase" ri[...]texto impreso
Jiménez Casas, Ángela ; Rodríguez Bernal, Aníbal | American Institute of Mathematical Sciences | 2011We obtain dynamic boundary conditions as a limit of parabolic problems with null flux where the time derivative concentrates near the boundary.texto impreso
We obtain nonhomogeneous dynamic boundary conditions as a singular limit of a parabolic problem with null flux and potentials and reaction terms concentrating at the boundary.texto impreso
We analyse the dynamics of a fluid transporting a soluble substance in the interior of a closed loop of arbitrary geometry and subjected to the action of gravity and natural convection. After obtaining the governing equations and analysing the w[...]texto impreso
Arrieta Algarra, José María ; Jiménez Casas, Ángela ; Rodríguez Bernal, Aníbal | World Scientific Publ Co Pte Ltd | 2005We analyze the limit of solutions of an elliptic problem, with zero flux boundary conditions when the reaction terms are concentrated in a neighborhood of the boundary and that shrinks to the boundary as a parameter goes to zero. We prove that t[...]texto impreso
Arrieta Algarra, José María ; Jiménez Casas, Ángela ; Rodríguez Bernal, Aníbal | Universidad Autónoma Madrid | 2008We analyze the limit of the solutions of an elliptic problem when some reaction and potential terms are concentrated in a neighborhood of a portion Gamma of the boundary and this neighborhood shrinks to Gamma as a parameter goes to zero. We prov[...]texto impreso
We study the linear stability of equilibrium points of a semilinear phase-field model, giving criteria for stability and instability. In the one-dimensional case, we study the distribution of equilibria and also prove the existence of metastable[...]texto impreso
We analyze the asymptotic behavior of the attractors of a parabolic problem when some reaction and potential terms are concentrated in a neighborhood of a portion ? of the boundary and this neighborhood shrinks to ? as a parameter ? goes to zero[...]
